algebra · worked example

Solve 4x + 7 = 3x + 12

Method: linear isolation (variables both sides). Verified step-by-step solution with our free AI math solver.
Problem

4x+7=3x+124x + 7 = 3x + 12

Step-by-step solution

  1. Move all xx terms to the left and constants to the right.

  2. Subtract 3x3x from both sides: 4x3x+7=124x - 3x + 7 = 12, i.e. x+7=12x + 7 = 12.

  3. Subtract 77 from both sides: x=127=5x = 12 - 7 = 5.

Answer

x=5x = 5

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