Linear Equation Solver
A linear equation in one variable can be written as ax + b = c and has at most one solution, x = (c − b) / a when a ≠ 0.
A linear equation has the variable to the first power only. The graph is a straight line; the solution is the x-intercept of that line after rearranging.
Solve a problem
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Example problems
How this solver works
- Move constants.
- Divide by the coefficient of x.
- Substitute to check.
Formula
Provided a is not zero.
Worked examples
2x + 5 = 17
- 2x = 12
- x = 6
Answer: x = 6
Common mistakes
Dividing before subtracting
Undo addition and subtraction first, then undo multiplication and division.
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Frequently asked questions
What if x appears on both sides?
Collect x terms on one side and constants on the other, then divide.
What is a linear equation?
An equation whose variable has exponent 1. There is no x², √x, or xy term in one unknown.