Solve for X Calculator

Enter an equation and see how to isolate x, simplify both sides, and check the result.

Drag & drop or upload an image or PDF

Enter an equation, such as 3(x + 2) = x + 14

Try an example

What solving for x actually means

Solving for x means finding every value that makes an equation true. The usual goal is to get x alone on one side while keeping the equation balanced.

The calculator handles more than one-step equations. You can enter parentheses, fractions, powers, roots, or variables on both sides. The solution explains which inverse operation is used at each point.

How to use the solve for x calculator

Enter the problem as written

Type or paste the full expression. You can also upload a clear photo or PDF and check the extracted text before solving.

Read the working, not only the answer

Each transformation is separated and explained so you can compare it with your own method.

Ask about any step

Continue in the same solution to request another method, check a restriction, or ask why a rule applies.

The balance rule

Whatever operation you apply to one side of an equation must also be applied to the other side.

a = b ⟹ a + c = b + c

A reliable way to work through it

Undo addition and subtraction

Move constant terms away from x first. This leaves the variable term easier to isolate.

Undo multiplication and division

Divide by the coefficient of x, or multiply through a denominator, without changing the balance.

Check the solution

Substitute the result into the original equation. Both sides should evaluate to the same number.

Worked example

Solve 3(x + 2) = x + 14

3 x + 6 = x + 14

Distribute 3 across the parentheses.

2 x + 6 = 14

Subtract x from both sides.

2 x = 8

Subtract 6 from both sides.

x = 4

Divide both sides by 2.

Checking gives 3(4 + 2) = 18 and 4 + 14 = 18, so x = 4.

Common mistakes to check

Changing only one side

An equation stops being equivalent if an operation is applied to only one side.

Missing a distribution term

In 3(x + 2), the 3 multiplies both x and 2.

Stopping before the check

A quick substitution catches sign errors and invalid roots.

Systems of Equations CalculatorSolve two or more equations together with substitution, elimination, or row operations.Inequality CalculatorSolve an inequality, track sign changes, and write the answer in interval notation.Quadratic Equation CalculatorFind real or complex roots and see which quadratic method fits the equation.Simplify CalculatorCombine like terms, reduce fractions, and rewrite expressions in a cleaner equivalent form.

Questions students ask

Can this calculator solve for variables other than x?

Yes. Enter an equation and state the variable you want, such as “solve 2a + b = 10 for a.”

Can it solve equations with x on both sides?

Yes. It collects the x terms on one side, combines constants on the other, and shows each balancing step.

What happens if an equation has no solution?

The solution will identify a contradiction, such as 0 = 5, and explain why no value of x works.

Is the solve for x calculator free?

Yes. Full steps and follow-up questions are free, and no account is required.