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27 February, 09:26

5x - (x+4) = 10-2 (x-8)

solve for x

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Answers (1)
  1. 27 February, 11:04
    0
    x=5

    Step-by-step explanation:

    Simplifying

    5x + - 1 (x + 4) = 10 + - 2 (x + - 8)

    Reorder the terms:

    5x + - 1 (4 + x) = 10 + - 2 (x + - 8)

    5x + (4 * - 1 + x * - 1) = 10 + - 2 (x + - 8)

    5x + (-4 + - 1x) = 10 + - 2 (x + - 8)

    Reorder the terms:

    -4 + 5x + - 1x = 10 + - 2 (x + - 8)

    Combine like terms: 5x + - 1x = 4x

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

    Reorder the terms:

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

    -4 + 4x = 10 + (-8 * - 2 + x * - 2)

    -4 + 4x = 10 + (16 + - 2x)

    Combine like terms: 10 + 16 = 26

    -4 + 4x = 26 + - 2x

    Solving

    -4 + 4x = 26 + - 2x

    Solving for variable 'x'.

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

    Add '2x' to each side of the equation.

    -4 + 4x + 2x = 26 + - 2x + 2x

    Combine like terms: 4x + 2x = 6x

    -4 + 6x = 26 + - 2x + 2x

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

    -4 + 6x = 26 + 0

    -4 + 6x = 26

    Add '4' to each side of the equation.

    -4 + 4 + 6x = 26 + 4

    Combine like terms: - 4 + 4 = 0

    0 + 6x = 26 + 4

    6x = 26 + 4

    Combine like terms: 26 + 4 = 30

    6x = 30

    Divide each side by '6'.

    x = 5

    Simplifying

    x = 5
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