Linear Equation Solver

Solve linear equations in one variable exactly, with each algebraic step shown and fractions kept exact.

Your result will appear here

Fill in the fields and press Solve, or pick one of the examples.

About the Linear Equation Solver

Solves first-degree equations in one variable, such as $3x - 1 = x + 4$ . Both sides may contain brackets and fractions; the equation is rearranged to $ax + b = 0$ and solved exactly, so the answer is a fraction rather than a rounded decimal.

If the variable cancels completely, the solver tells you whether the equation is true for every value (an identity) or for none.

Limitations

The equation must be linear after simplification; for higher degrees use the Quadratic or Polynomial Equation Solver.

How to use it

Type the equation with an equals sign.
Press Solve.
Follow the working: collect terms, then isolate the variable.

Example

3x - 1 = x + 4

→ x = 5/2

Formulas used

ax + b = 0 \;\Rightarrow\; x = -\frac{b}{a},\quad a \ne 0

Every linear equation reduces to this form.

Quadratic Equation SolverSolve quadratic equations with the discriminant and quadratic formula shown step by step, including exact radical and complex roots.System of Equations SolverSolve systems of linear equations with exact Gauss–Jordan elimination; detects no-solution and infinitely-many-solution cases.Slope CalculatorSlope, angle of inclination and the equation of the line through two points in slope-intercept and general form.

About the Linear Equation Solver

Limitations

How to use it

Formulas used

Related tools

About the Linear Equation Solver

Limitations

How to use it

Formulas used