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7 January, 18:57

Solve for x.

6 - 3 (2x - 4) = 2 (1 + x)

A. - 2

B. o

C. - 1

D. 2

+2
Answers (1)
  1. 7 January, 19:13
    0
    Answer: D) X = 2

    Step-by-step explanation:

    1) Reorder the terms:

    6 + - 3 (-4 + 2x) = 2 (1 + x)

    6 + (-4 * - 3 + 2x * - 3) = 2 (1 + x)

    6 + (12 + - 6x) = 2 (1 + x)

    2) Combine like terms: 6 + 12 = 18

    18 + - 6x = 2 (1 + x)

    18 + - 6x = (1 * 2 + x * 2)

    18 + - 6x = (2 + 2x)

    3) Solving

    18 + - 6x = 2 + 2x

    4) Solving for variable 'x'.

    5) Move all terms containing x to the left, all other terms to the right.

    6) Add '-2x' to each side of the equation.

    18 + - 6x + - 2x = 2 + 2x + - 2x

    7) Combine like terms: - 6x + - 2x = - 8x

    18 + - 8x = 2 + 2x + - 2x

    8) Combine like terms: 2x + - 2x = 0

    18 + - 8x = 2 + 0

    18 + - 8x = 2

    9) Add '-18' to each side of the equation.

    18 + - 18 + - 8x = 2 + - 18

    10) Combine like terms: 18 + - 18 = 0

    0 + - 8x = 2 + - 18

    -8x = 2 + - 18

    11) Combine like terms: 2 + - 18 = - 16

    -8x = - 16

    12) Divide each side by '-8'.

    x = 2

    13) Simplifying

    x = 2
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