Step-by-Step Equation Solver
Equation Solver With Steps
Enter an equation and see how it is solved step by step. This equation solver helps you solve for x, move terms, simplify both sides, and understand the final answer.
Best for students who want to solve equations with clear steps instead of only seeing the final value of x.
Equation Example
5x + 2 = 3x + 12
Step 1: Move x terms to one side.
5x - 3x = 12 - 2
Step 2: Simplify both sides.
2x = 10
Step 3: Divide both sides by 2.
x = 5
Equation Solver Tool
Enter an equation and solve it with steps
Type a simple equation and this solver will show how to move terms, simplify both sides, isolate x, and reach the final answer.
Best for
Simple one-variable equations with x. For broader algebra learning, use the Algebra Calculator That Shows Work.
Equation Steps
Ready to solve
Enter an equation and click “Solve Equation With Steps” to see the work.
Need broader math support? Use the Calculator That Shows Work. For algebra basics, use the Algebra Calculator That Shows Work.
How It Shows Steps
It solves the equation by showing each move clearly
This equation solver does not only give the final answer. It shows how x terms move, how number terms move, and how the equation becomes simpler step by step.
Reads the full equation
Enter an equation like 5x + 2 = 3x + 12. The solver reads the left side and right side separately before solving.
Moves x terms together
The solver moves all x terms to one side so the unknown value can be isolated clearly.
Moves numbers to the other side
Constant numbers are moved away from x. This helps turn the equation into a simpler form like 2x = 10.
Divides to find the answer
After simplifying, the solver divides both sides by the coefficient of x and gives the final value.
Supported Equations
What types of equations can this solver handle?
This equation solver is focused on simple one-variable equations. It is best for solving for x with clear step-by-step work.
01
Simple solve-for-x equations
Solve equations like 2x + 5 = 17, where the goal is to find the value of x.
02
Linear equations
Works best for one-variable linear equations such as 3x - 4 = 11 or 7x = 49.
03
x on both sides
Solve equations where x appears on both sides, such as 5x + 2 = 3x + 12.
04
Addition and subtraction equations
Useful for equations like x + 14 = 30, where you reverse addition or subtraction to isolate x.
05
Multiplication equations
Solve equations like 4x = 28 by dividing both sides by the coefficient of x.
06
Step-by-step checking
Use it to check how each equation step works before trusting the final answer.
Important limit
This page is focused on simple one-variable equations. For broader algebra learning, use the Algebra Calculator That Shows Work. For broader math questions, use the Calculator That Shows Work.
Equation Solving Rules
Rules this equation solver follows
Solving equations is about keeping both sides balanced while isolating the unknown value. These are the basic rules used by the solver.
01
Keep the equation balanced
Any operation done on one side should also be done on the other side.
02
Move variable terms together
If x appears on both sides, move all x terms to one side first.
03
Move numbers away from x
Constant numbers should be moved to the opposite side so x can be isolated.
04
Simplify both sides
Combine like terms so the equation becomes smaller and easier to solve.
05
Divide by the coefficient
If the equation becomes 2x = 10, divide both sides by 2 to get x = 5.
06
Check the solution
Put the answer back into the original equation to check whether both sides are equal.
Quick rule
The goal is simple: keep both sides balanced and isolate x. For broader algebra learning, use the Algebra Calculator That Shows Work.
Equation Examples
Equation examples with step-by-step solutions
These examples show how to solve common one-variable equations by moving terms, simplifying both sides, and isolating x.
Example 1
2x + 5 = 17
Step 1: Subtract 5 from both sides.
Step 2: 2x + 5 − 5 = 17 − 5, so 2x = 12.
Step 3: Divide both sides by 2.
Answer: x = 6
Example 2
5x + 2 = 3x + 12
Step 1: Subtract 3x from both sides.
Step 2: 5x − 3x + 2 = 12, so 2x + 2 = 12.
Step 3: Subtract 2 from both sides: 2x = 10.
Step 4: Divide both sides by 2.
Answer: x = 5
Example 3
3x - 4 = 11
Step 1: Add 4 to both sides.
Step 2: 3x - 4 + 4 = 11 + 4, so 3x = 15.
Step 3: Divide both sides by 3.
Answer: x = 5
Example 4
7x = 49
Step 1: x is multiplied by 7.
Step 2: Divide both sides by 7.
Step 3: 7x ÷ 7 = 49 ÷ 7.
Answer: x = 7
Need broader algebra explanation? Use the Algebra Calculator That Shows Work. For broader math questions, use the Calculator That Shows Work.
Common Mistakes
Common equation solving mistakes to avoid
Most equation mistakes happen when students move terms without balancing both sides, lose negative signs, or forget to divide by the coefficient of x.
Mistake 1
Changing only one side
An equation must stay balanced. If you add, subtract, multiply, or divide one side, you must do the same operation to the other side.
Correct: 2x + 5 = 17 → subtract 5 from both sides.
Mistake 2
Moving terms with the wrong sign
When a term moves to the other side, its operation changes. A positive term becomes subtracted, and a negative term becomes added.
Correct: 5x + 2 = 3x + 12 → subtract 3x and subtract 2.
Mistake 3
Mixing x terms with number terms
x terms should be combined with x terms only. Number terms should be combined with number terms only.
Correct: 5x - 3x = 2x, and 12 - 2 = 10.
Mistake 4
Forgetting the final division step
If the equation becomes 2x = 10, the answer is not x = 10. You still need to divide both sides by 2.
Correct: 2x = 10 → x = 10 ÷ 2 → x = 5.
Best way to avoid equation mistakes
Keep both sides balanced, write every step clearly, and check the final value by putting it back into the original equation. Use the equation solver above to review each step.
Equation Solver FAQs
Questions about equation solver with steps
Here are simple answers about solving equations, moving terms, isolating x, and using this equation solver to understand the steps.
What is an equation solver with steps?
An equation solver with steps is a tool that solves an equation and explains the process behind the answer. It shows how terms move, how both sides are simplified, and how the final value of x is found.
Can this solver solve for x?
Yes. This solver is designed for simple one-variable equations where you need to solve for x, such as 2x + 5 = 17 or 5x + 2 = 3x + 12.
What types of equations can this solver handle?
This solver works best for simple linear equations with one variable. It can handle equations with x on one side, x on both sides, addition, subtraction, and multiplication by a coefficient.
How do you solve an equation step by step?
To solve an equation step by step, move variable terms to one side, move number terms to the other side, simplify both sides, and divide by the coefficient of x.
Is this different from an algebra calculator?
Yes. This page is focused on directly solving equations with steps. The Algebra Calculator That Shows Work is broader and explains basic algebra rules, solve-for-x practice, and common algebra mistakes.
Why do we do the same operation on both sides?
An equation must stay balanced. If you add, subtract, multiply, or divide only one side, both sides may no longer be equal. That is why the same operation is applied to both sides.
Can I use this equation solver for homework?
Yes, but use it to understand the solving method and check your work. Do not copy answers blindly. For broader math questions, use the Calculator That Shows Work.
Solve Equations With Steps
See how the equation is solved before trusting the answer
Use this equation solver when you want to move terms correctly, simplify both sides, isolate x, and understand the steps behind the final answer.
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