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Set up your equation, then Axiom solves for x one step at a time.
Write your equation as ax + b = cx + d and enter the four coefficients, including their signs. Use 0 for a missing x term or constant, then press Solve step-by-step to see whether there is one solution, no solution, or infinitely many.
Subtract cx and b from both sides to get (a − c)x = d − b. If a − c is nonzero, divide both sides by it: x = (d − b)/(a − c). If the x terms cancel, equal remaining constants mean every x works; unequal constants mean no x works. Numerical comparisons use floating-point precision.
For 3x + 4 = 19, enter a = 3, b = 4, c = 0, d = 19. Subtract 4: 3x = 15; divide by 3: x = 5. Check: 3 × 5 + 4 = 19.
For 5x − 2 = 2x + 10, enter 5, −2, 2, 10. Subtract 2x and add 2: 3x = 12, so x = 4. Both original sides then equal 18.
Use a negative coefficient or constant. For 3x − 7 = 8, set a = 3, b = −7, c = 0, and d = 8.
Expand and collect terms yourself first. For 2(x + 3) = 14, enter the equivalent equation 2x + 6 = 0x + 14. The fields accept numbers, not expression text.
The equation is true for every x. For example, 2x + 3 = 2x + 3 has identical sides. By contrast, 2x + 3 = 2x + 4 has no solution.
No. This page handles one linear equality in one variable. Decimals are accepted, but displayed working is rounded; for extreme coefficients, use a symbolic method rather than relying on finite-precision arithmetic.
Use the Quadratic Equation Solver when an x² term is present, or graph a line to visualize its values. The linear equations lesson shows how to keep both sides balanced during each step. Related tools: Quadratic Equation Solver, Linear & Quadratic Graphing Calculator. Read the Linear Equations lesson or practice linear equations to build confidence without relying on a calculator.