Simple Equations Solver (Linear)

Solve Your Equation

About the Linear Equation Solver

Simple equation solver helps you understand how to solve linear equations with one unknown variable (commonly $x$, but any single letter can be used). It handles equations involving:

  • Basic Operations: Addition, subtraction, multiplication, and division.
  • Numbers: Integers, decimals, and fractions (e.g., $1/2$, $3/4$).
  • Parentheses (Brackets): For grouping terms, which will be expanded using the distributive property.
  • Fractions with Variables: Such as $x/2$ or $(2x-1)/5$.

How to Input Equations

  • Use a single letter for the unknown variable (e.g., x, y, a, m). The solver will attempt to identify it.
  • Use = to separate the left-hand side (LHS) from the right-hand side (RHS).
  • For multiplication, you can use * or write it implicitly, e.g., 2x is 2*x, 3(x+1) is 3*(x+1).
  • For fractions, use /, e.g., 1/2 or (x+1)/(x-2). Ensure numerators/denominators with multiple terms are in parentheses.

Example Inputs

  • 2x + 5 = 11
  • 3(y - 2) = y + 4
  • a/2 + 3 = a/4 - 1
  • 1/3 * (m - 6) - 1/4 * (5m + 4) = -3
  • (x+3)/4 = (x-3)/5 + 2

The solver will show intermediate steps like simplifying each side, distributing, clearing fractions (by multiplying by LCM), moving terms, and finally isolating the variable. After finding a solution, it will also verify the answer by substituting it back into the original equation.