Linear Equation Solver
Enter the three coefficients and see the solution, rearrangement, and check—not merely the final number.
Verify this calculatorMaintained
See what the result uses—and what it cannot know.
Sumvoro calculates deterministically from the visible inputs. It does not invent lender terms, local rules, market values, medical facts, or professional judgments.
- 1 · InputsCheck every entered value against the latest statement, quote, measurement, or official source.
- 2 · Formula
For ax + b = c, subtract b from both sides and divide by a: x = (c − b) ÷ a. - 3 · SensitivityUse Insights to run a lower and higher case. If the conclusion changes easily, collect better information or leave more margin.
- 4 · ScopeThis tool is maintained and covered by automated calculation tests. Provider timing, rounding, and omitted facts can still change a real-world result.
- Formula release
- 2026.10-r4
- Release date
- October 10, 2026
- Review status
- Maintained
- Source review
- September 12, 2026
Optional readingLearn how this calculator works
How the linear equation solver works
Solve equations in the form ax + b = c with clear substitution and verification steps.
For ax + b = c, subtract b from both sides and divide by a: x = (c − b) ÷ a.
Read our calculation methodology and limitations.
Example
For 3x + 6 = 21, subtract 6 to get 3x = 15, then divide by 3 to get x = 5.
What affects the result
- A zero coefficient on x can produce no solution or infinitely many solutions.
- Equivalent operations must be applied to both sides.
- Substitution verifies the result.
Frequently asked questions
What if a is zero?
The equation has no unique x. If b equals c, every x works; otherwise no x works.
Can this solve inequalities?
No. This tool is limited to one-variable linear equations in the displayed form.