Linear Equation Solver
Enter coefficients to solve the linear equation a·x + b = c.
Calculator
Use the Linear Equation Solver
Result
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Formula
x = (c − b) ÷ a
Step-by-step
- 1
Enter coefficients
Provide a, b, and c from your equation.
- 2
Solve for x
The calculator rearranges and solves.
Worked example
Example input: a: 2, b: 4, c: 10
Result: 3
Related tools
- Quadratic Solver
Solve a·x² + b·x + c = 0.
Frequently asked questions
What equation does this calculator solve?
The one-unknown linear form a x + b = c: enter the three numbers and it returns x = (c - b) / a. The example 2x + 4 = 10 gives x = 3, since 2 x 3 plus 4 equals 10.
Why can there be no solution?
When a is 0, the x term vanishes and the sentence becomes b = c. If those differ, no x can fix it — the calculator reports no result rather than inventing a number.
How do I check the solution?
Substitute it back. For x = 3 in 2x + 4 = 10, working out 2 x 3 + 4 returns the original right side, 10 — a closed loop means the answer is right.