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Math & algebra

Solve linear equations by applying the same operation to both sides

Skip “just transpose it.” This solver logs each operation applied to both sides, clears denominators, handles fractions/parentheses/decimals, and shows checks, shareable URLs, LaTeX/SVG, and a teacher mode — all in the browser.

A sample is solved on load so you can see the flow instantly. Nothing is sent to any server.

Other languages: 日本語 | English | Español

Enter an equation (e.g., 2x+3=7)

Tap an example below to load its equation and options.

Result preview
x = 2
How to use (3 steps)
  1. Enter your equation like 2x+3=7. × ÷ and full-width characters are normalized.
  2. Toggle options such as clearing denominators, verification, and fraction/decimal display.
  3. Click “Solve” to view the log, then copy a share URL, LaTeX, or SVG.

A one-line explanation under the result tells what the current step represents.

What does this output mean?

Clear denominators

Multiply both sides by the LCM of denominators to turn coefficients into integers. The LCM is shown inside the log for fraction-heavy examples.

Same-operation steps

We remove x terms, move constants, and divide by the coefficient, always phrasing it as “do the same to both sides” to reduce sign mistakes.

Verification

When there is a unique solution, the value of x is substituted back into the original equation to show that both sides match.

FAQ

Why does applying the same operation keep the equation true?

Adding, subtracting, multiplying, or dividing both sides by the same value keeps the equality intact. The step log makes this visible.

How is this different from “transposing”?

Instead of flipping signs when moving terms, every step is a mirrored operation on both sides, which is safer with fractions or parentheses.

How do you clear denominators?

We compute the LCM of denominators and multiply both sides to make coefficients integers. The chosen LCM appears in the steps.

Are parentheses and implicit multiplication supported?

Yes. Inputs like 2x, 3(x-2), and (x+1)2 are normalized before solving.

How do you detect no solution or infinite solutions?

If the x coefficient becomes 0 and constants disagree, it is no solution; if they match, it is infinite solutions. Both are highlighted.

Is my input sent anywhere?

No. Everything stays in your browser; only copied share URLs contain your equation and options.

Comments

Loaded only when you click. Until then, no external connection is made.