estim.at
โ† Back to Learning Center
๐Ÿ“

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

2x + 40
=
45
x = 2.5

Solution Steps

  1. 1
    Write the equation: 2x +40 = 45
    2x + 40
    =
    45
  2. 2
    Subtract b from both sides: 2x +40 - 40 = 45 - 40
  3. 3
    Simplify: 2x = 5
    2x
    =
    5
  4. 4
    Divide both sides by a: (2x) / 2 = 5 / 2
  5. 5
    Result: x = 2.5
    x
    =
    2.5
    x = 2.5
  6. 6
    Check: 2 ร— 2.5 +40 = 45 = 45 โœ“

Practice Now!

Generate your own worksheet with problems of this type and practice as much as you want.

Generate Worksheet