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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

8x + 35
=
191
x = 19.5

Solution Steps

  1. 1
    Write the equation: 8x +35 = 191
    8x + 35
    =
    191
  2. 2
    Subtract b from both sides: 8x +35 - 35 = 191 - 35
  3. 3
    Simplify: 8x = 156
    8x
    =
    156
  4. 4
    Divide both sides by a: (8x) / 8 = 156 / 8
  5. 5
    Result: x = 19.5
    x
    =
    19.5
    x = 19.5
  6. 6
    Check: 8 ร— 19.5 +35 = 191 = 191 โœ“

Practice Now!

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