Linear equation solver
Enter a one-variable linear equation and solve for x with clear algebra steps and a substitution check.
Try an example
A linear equation contains x only to the first power. Common forms include 2x + 5 = 15, equations with parentheses, and equations where x appears on both sides.
A linear equation can have one solution, no solution, or infinitely many solutions. The calculator identifies those cases instead of forcing every input into a numeric answer.
The solver parses each side as ax + b, moves variable terms and constants while preserving equality, and divides by the remaining coefficient when needed.
After solving, the result is substituted into the original equation so the left and right sides can be compared directly.
Type or paste an equation, solve it, inspect the transformations, and use verification and the graph instead of relying on the final value alone.
2x + 5 = 155x - 3 = 2x + 123(x + 2) = 180.5x + 1 = 3Follow the same steps the calculator uses for three equations in this category.
x = 5
Subtract 5 from both sides
2x+5=15 → 2x=10
Divide both sides by 2
2x=10 → x=5
Verified
x = 5
Subtract 2x from both sides
5x-3=2x+12 → 3x-3=12
Add 3 to both sides
3x-3=12 → 3x=15
Divide both sides by 3
3x=15 → x=5
Verified
x = 4
Subtract 6 from both sides
3x+6=18 → 3x=12
Divide both sides by 3
3x=12 → x=4
Verified
Substitute each answer into the original equation and compare both sides.
Cubic and higher-degree polynomials, logarithmic, exponential, trigonometric, nested-radical, and multiple-absolute-value equations remain outside the supported solver scope.