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Academic / Student Tools / Linear Equation Solver
Tool 464 · exact algebra workspace

Solve linear equations — and see why the answer works.

Enter expressions on both sides, including parentheses, fractions and decimals. The solver reduces each side exactly, classifies unique/no/infinite solutions, verifies the result, draws both sides as lines and keeps a private local history.

Exact rational arithmeticParentheses supportedStep-by-stepNo account

Equation

Use x as the variable. Multiplication may be implicit: 2(x+3), 4x, x/3.

=

Supported: + − × ÷, parentheses, integers, terminating decimals, fractions such as 3/4, and unary signs. Non-linear terms such as x² or x·x are rejected instead of guessed.

Strong input handling: both sides are parsed into an affine form ax + b. Unsupported or non-linear algebra is explicitly flagged, so the tool never silently turns a different problem into a linear one.
Solution
x = 11
Exact: 11 · Decimal: 11
✓ Unique solution
The horizontal coordinate is x. The vertical coordinate is the value of each side. A unique solution is the intersection of the two lines.