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ALGEBRA / AX + B = C

Linear Equation Calculator

Solve one linear equation in the form ax + b = c and verify the result with substitution and residual output.

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  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

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Calculation path

Subtract b from both sides, divide by non-zero a, and substitute the result to expose any numeric residual.

Calculation path

For ax + b = c, x = (c - b) / a.

What you provide

What you provide

  • Coefficient a: Non-zero multiplier applied to x.
  • Constant b: Constant added on the left side.
  • Right-side value c: Value the left side must equal.

What you receive

What you receive

  • Solved x value
  • Substitution check
  • Numerical residual

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

If a is zero, this form cannot distinguish an identity from a contradiction and pauses instead of claiming a unique solution.

Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.