Math Equation Solver
Use the free Math Equation Solver on AixKit to get instant, accurate results in your browser. No sign-up or installation required.
How to Use the Math Equation Solver
- Read the input labels carefully — enter the values they describe.
- Use the correct units for each field — check the unit labels before entering numbers.
- Click Calculate to see your result.
- Review the formula or method shown to verify the calculation makes sense.
Math Equation Solver – Instantly Solve Any Linear Equation
Whether you're a student working through algebra homework, a teacher generating worked examples, or a professional checking a quick calculation, our free Math Equation Solver handles linear equations in one variable with clean, step-by-step output. No sign-up, no external tools.
What Is a Linear Equation?
A linear equation is an equation in which the variable (x) appears only to the first power — no x², no x³. It forms a straight line when graphed and has exactly one solution (unless it's a contradiction or identity).
General form: ax + b = cx + d
Supported Equation Forms
- ax + b = c — e.g.
2x + 5 = 11 - ax + b = dx + e — e.g.
2x + 5 = x + 9 - ax − b = c — e.g.
3x - 7 = 8 - n(x ± c) = d — e.g.
4(x + 2) = 20 - Any combination of x terms and constants on either side
How to Use
- Type your equation in the input field using
xas the variable. - Use standard notation:
2x+5=11(spaces optional). - Click Solve to get the solution with step-by-step working.
- Click Clear to reset. Press Enter to solve without clicking.
Example Walkthrough
Equation: 4(x + 2) = 20
- Expand the bracket: 4x + 8 = 20
- Subtract 8 from both sides: 4x = 12
- Divide both sides by 4: x = 3
Equation: 2x + 5 = x + 9
- Subtract x from both sides: x + 5 = 9
- Subtract 5 from both sides: x = 4
The Solving Method
The solver uses standard algebraic manipulation:
- Expand any parentheses (e.g.
4(x+2)becomes4x+8). - Collect all x terms on one side, all constants on the other.
- Divide both sides by the coefficient of x.
- Report special cases: identity (true for all x) or no solution (contradiction).
Input Tips
- Use
x(lowercase) as the variable name. - Spaces are ignored —
2x + 5 = 11and2x+5=11are equivalent. - Negative coefficients:
-3x + 4 = 1is valid. - Only one
=sign per equation. - Parentheses: only simple
n(x ± c)forms are expanded automatically. - Exponents, fractions, and multiple variables are not supported.
Frequently Asked Questions
What types of equations are supported?
Linear equations in one variable (x). The solver handles any equation of the form ax + b = cx + d, including parenthesised terms like 4(x + 2) = 20.
What does "identity" mean?
An identity is an equation true for every value of x — for example, 2x + 4 = 2(x + 2). The solver detects this and reports it clearly.
What does "no solution" mean?
A contradiction — for example, 2x + 3 = 2x + 7. No value of x makes both sides equal.
Can I use decimal coefficients?
Yes — e.g. 1.5x + 2 = 5 is supported.
Does it show steps?
Yes — the solver shows the equation entered, any expansion applied, the collected terms, and the final division step before the answer.