Linear Equation Solver — Solve for x Step by Step (Free)

Use this free linear equation solver to solve an equation of the form ax + b = cx + d. Enter the four coefficients and you’ll get the value of x — as a fraction and a decimal — with the steps and a check that substitutes the answer back in.

How to use the solver

1. Enter the coefficients on each side of the equation.
2. Press Calculate.
3. Read the solution, the steps, and the check.

Solving a linear equation

Collect the x-terms on one side and the constants on the other, then divide: x = (d − b) / (a − c). If a = c, the equation has either no solution or infinitely many, depending on whether the constants match — the solver detects both.

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Frequently asked questions

How do you solve ax + b = cx + d?

Move the x-terms to one side and constants to the other, then divide: x = (d − b)/(a − c).

What if there’s no x left after simplifying?

If both sides reduce to the same number, every x works (infinitely many solutions); if they differ, there’s no solution.

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Does it show the steps?

Yes — it walks through collecting terms, simplifying, and dividing, then checks the answer.

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Read the full lesson: learn the method step by step.

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