Algebraic Equation Solver
Solve any linear equation of the standard form ax + b = cx + d for x. It also detects identities (all real solutions) and contradictions (no solution).
Inputs explained
- Coefficient a (ax + b = cx + d) — Coefficient of x on the left side.
- Constant b — Constant on the left side.
- Coefficient c — Coefficient of x on the right side. Use 0 if the right side has no x.
- Constant d — Constant on the right side.
How to use it
- Fill in the fields above — each input has a hint describing exactly what to enter
- Press Calculate to get your result instantly, right on this page
- Copy the result, save the tool to favorites, or share and embed it anywhere
Understanding the result
Example: For 2x + 3 = 7 (a = 2, b = 3, c = 0, d = 7), x = 2.
Frequently asked questions
What does it mean when the solver reports 'infinite solutions' instead of a number? That happens when a equals c and b equals d, making both sides of ax + b = cx + d identical for every x — an identity rather than a single-answer equation.
What causes a 'no solution' result? That occurs when a equals c but b does not equal d, which reduces the equation to a false statement like 3 = 7 regardless of x, meaning no value of x can satisfy it.
Is the Algebraic Equation Solver free to use? Yes — it is completely free, with no sign-up, no download and no usage limits. You can use it as often as you need.
Is my data private? Yes. The calculation runs entirely in your browser — the values you enter are never sent to our servers, stored or shared with anyone.
What information do I need? Just the following: Coefficient a (ax + b = cx + d), Constant b, Coefficient c, Constant d. Each field includes a hint explaining exactly what to enter.
Can I use it on my phone? Yes — the tool is fully responsive and works on any device, and the same calculator is available in the EasyWorkCalcs mobile app.
Privacy
Everything you enter into the Algebraic Equation Solver is processed entirely in your browser. Nothing is uploaded, stored or shared — your data stays on your device.