Algebra
Linear Equation Solver
Solve any single-variable linear equation. Solve equations of the form ax + b = c step by step, with support for fractions, decimals, and negative coefficients.
Examples:
Formula Reference
Linear Equation
ax + b = c → x = (c−b)/a
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Discriminant
Δ = b² − 4ac
Vertex Form
y = a(x−h)² + k
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Solution Methodology
01
Parse Equation
Identify all terms on both sides and detect the variable, constants, and coefficients.
02
Combine Like Terms
Simplify each side by grouping variable terms and constant terms separately.
03
Isolate & Solve
Move constants to one side, divide by the coefficient, and state the solution.
Common Questions
How do you solve a linear equation step by step?
First, distribute and combine like terms on each side. Then move all variable terms to one side and constants to the other using addition or subtraction. Finally, divide both sides by the coefficient of the variable to isolate x.
Can this solver handle equations with fractions?
Yes. When fractional coefficients are detected, the engine multiplies every term by the least common denominator to clear the fractions before solving, then converts the answer back to a fraction or decimal as needed.