Linear Equations — Solve ax + b = c

Linear Equations

A linear equation has the form: ax + b = c.

The goal is to find the value of x that makes the equation true.

Solving Method

  1. Move constants to the other side
  2. Get the form ax = c − b
  3. Divide both sides by a

Therefore:

x = (c − b) / a

Example

Solve:

2x + 3 = 11

Subtract 3:

2x = 8

Divide by 2:

x = 4