Equation solver
Solve for x, every step shown.
Output
Paste or type above to see the result here.
Your files stay on your device
This tool runs entirely in your browser. What you paste is processed on your device and is never sent to a server, so it is safe to use with tokens, keys and unpublished text.
Example
Example: three equations from homework, solved with every step
Three lines typed into the box, one equation each: brackets, fractions on both sides, and a phone bill — $20 a month plus 15 cents a text came to $50, so 0.15x + 20 = 50.
- Each answer comes first, as a fraction and a decimal when it is not whole, followed by every step.
- A check puts the answer back into the equation: 3(9 − 4) = 15 and 9 + 6 = 15 ✓.
- Two lines with x and y, such as x + y = 10 and 2x − y = 5, are solved together as a system: x = 5, y = 5.
| You type | Answer | Key step |
|---|---|---|
| 3(x - 4) = x + 6 | x = 9 | 3x − 12 = x + 6, so 2x = 18 |
| x/2 + 1/3 = (x - 1)/4 | x = −7/3 ≈ −2.333333 | multiply by 12, the LCM of the denominators: 6x + 4 = 3(x − 1) |
| 0.15x + 20 = 50 | x = 200 | multiply by 20 to clear the decimals: 3x + 400 = 1000 |
x = 9, x = −7/3 and x = 200 — 200 texts that month. Each comes with its working, so you can compare it line by line with yours.
How it works
- Type the equation as you would write it: brackets, fractions such as x/2, decimals, x on both sides.
- Put each equation on its own line to solve several; lines with x and y together make a system.
- The answer comes first, as a fraction and a decimal, then every step and a check.
Frequently asked questions
- How do you solve a linear equation?
- Expand the brackets, clear fractions by multiplying by the common denominator, gather the x terms on one side and the numbers on the other, then divide by the number in front of x.
- What if every x works, or none does?
- If the x terms cancel and what is left is true (5 = 5), every number is a solution; if it is false (5 = 3), there is none. The solver says which.
- Can it solve x²?
- Not here — an equation with x² is quadratic. Use the quadratic equation solver, which shows the quadratic formula.
- Can it solve two equations at once?
- Yes: type them on two lines with x and y, and it solves the system by substitution, elimination or Cramer’s rule.
- How do I solve an equation with fractions?
- Multiply both sides by the least common multiple of the denominators so the fractions disappear, then solve as usual. For x/2 + 1/3 = (x − 1)/4 that is 12: 6x + 4 = 3x − 3, so 3x = −7 and x = −7/3. The solver shows that line.
- Does it work with decimals?
- Yes. 0.15x + 20 = 50 is multiplied by 20 to clear the decimals, 3x + 400 = 1000, which gives x = 200 exactly rather than a rounded number.
- Is anything uploaded?
- No. It is worked out in your browser, and nothing you type leaves your computer.
Made for a specific use
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