Linear Equation Calculator
Last updated: November 5, 2026
Solve a linear equation in the form ax + b = c and verify the solution.
Solution for x
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- Equation: —
- Left side check: —
- Distance from zero: —
On this page
Quick summary: Solve a linear equation in the form ax + b = c and verify the solution.
Read the complete guide
Updated reference sections in this guide are in English.
What this calculator estimates
Solve a linear equation in the form ax + b = c and verify the solution.
How to use it
Enter Coefficient a; Constant b; Right side c. Select Calculate to update the results.
How the calculation works
Subtract b from both sides, then divide by the nonzero coefficient a.
Worked example: starting scenario
| Coefficient a | 3 |
|---|---|
| Constant b | 5 |
| Right side c | 20 |
| Solution for x | x = 5 |
|---|---|
| Equation | 3x + 5 = 20 |
| Left side check | 20 |
| Distance from zero | 5 |
Important limitations
If a equals zero, the equation may have no solution or infinitely many solutions and is outside this single-solution form.
What happens when the coefficient is zero?
This form solves a×x + b = c by dividing c − b by nonzero a. For 3x + 4 = 19, x = 5 and substituting it returns 19. If a is zero, there is either no solution when b differs from c or every x is a solution when b equals c. Neither case has one unique x, so this single-solution form rejects a zero coefficient.