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How to Solve Linear Equations

Learn methods for solving simple linear equations like ax + b = c.

๐Ÿ“ Step by Step

  1. 1 Identify the variable (usually x) and all numbers in the equation.
  2. 2 Use inverse operations to isolate the variable. If a number is added, subtract it from both sides.
  3. 3 If the variable is multiplied by a number, divide both sides by that number.
  4. 4 Check your answer by substituting the found value back into the original equation.

Example with Solution

Example

9x + 7
=
120
x = 12.5

Solution Steps

  1. 1
    Write the equation: 9x +7 = 120
    9x + 7
    =
    120
  2. 2
    Subtract b from both sides: 9x +7 - 7 = 120 - 7
  3. 3
    Simplify: 9x = 113
    9x
    =
    113
  4. 4
    Divide both sides by a: (9x) / 9 = 113 / 9
  5. 5
    Result: x = 12.5
    x
    =
    12.5
    x = 12.5

Practice Now!

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