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27 November, 13:32

Solve for x. Describe the steps taken to find the solution.

3 (4x - 3) + 8 = 2x + 10x - 1

+1
Answers (2)
  1. 27 November, 14:42
    0
    see below

    Step-by-step explanation:

    3 (4x - 3) + 8 = 2x + 10x - 1

    Distribute

    12x - 9 + 8 = 2x+10x - 1

    Combine like terms

    12x - 1 = 12x - 1

    Subtract 12x from each side

    12x - 1 - 12x = 12x - 1-12x

    -1 = - 1

    This is true for all values of x

    x = all real numbers
  2. 27 November, 15:57
    0
    All real numbers are solutions.

    Step-by-step explanation:

    3 (4x - 3) + 8 = 2x + 10x - 1 Example 1:

    12x - 9 + 8 = 12x - 1 3 ((4*1) - 3) + 8 = (2*1) + (10*1) - 1

    - 12x = - 12x 3 ((4) - 3) + 8 = (2) + (10) - 1

    -9 + 8 = - 1 (12 - 9) + 8 = 12 - 1

    -1 = - 1 3 + 8 = 12 - 1

    Example 2 11 = 11

    3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1

    3 ((24) - 3) + 8 = (12) + (60) - 1

    72 - 9 + 8 = 72 - 1

    72 - 1 = 72 - 1

    71 = 71
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