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10 April, 15:46

5 (x-3) + 7 (2-x) - 4 (2x+7) - 3x+2=11-8 (x-7) + 4x - (6-5x) + 8-2x

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  1. 10 April, 16:48
    0
    x=-8

    Step-by-step explanation:

    Simplifying

    5 (x + - 3) + 7 (2 + - 1x) + - 4 (2x + 7) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Reorder the terms:

    5 (-3 + x) + 7 (2 + - 1x) + - 4 (2x + 7) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    (-3 * 5 + x * 5) + 7 (2 + - 1x) + - 4 (2x + 7) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    (-15 + 5x) + 7 (2 + - 1x) + - 4 (2x + 7) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -15 + 5x + (2 * 7 + - 1x * 7) + - 4 (2x + 7) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -15 + 5x + (14 + - 7x) + - 4 (2x + 7) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Reorder the terms:

    -15 + 5x + 14 + - 7x + - 4 (7 + 2x) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -15 + 5x + 14 + - 7x + (7 * - 4 + 2x * - 4) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -15 + 5x + 14 + - 7x + (-28 + - 8x) + - 3x + 2 = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Reorder the terms:

    -15 + 14 + - 28 + 2 + 5x + - 7x + - 8x + - 3x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Combine like terms: - 15 + 14 = - 1

    -1 + - 28 + 2 + 5x + - 7x + - 8x + - 3x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Combine like terms: - 1 + - 28 = - 29

    -29 + 2 + 5x + - 7x + - 8x + - 3x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Combine like terms: - 29 + 2 = - 27

    -27 + 5x + - 7x + - 8x + - 3x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Combine like terms: 5x + - 7x = - 2x

    -27 + - 2x + - 8x + - 3x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Combine like terms: - 2x + - 8x = - 10x

    -27 + - 10x + - 3x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Combine like terms: - 10x + - 3x = - 13x

    -27 + - 13x = 11 + - 8 (x + - 7) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    Reorder the terms:

    -27 + - 13x = 11 + - 8 (-7 + x) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -27 + - 13x = 11 + (-7 * - 8 + x * - 8) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -27 + - 13x = 11 + (56 + - 8x) + 4x + - 1 (6 + - 5x) + 8 + - 2x

    -27 + - 13x = 11 + 56 + - 8x + 4x + (6 * - 1 + - 5x * - 1) + 8 + - 2x

    -27 + - 13x = 11 + 56 + - 8x + 4x + (-6 + 5x) + 8 + - 2x

    Reorder the terms:

    -27 + - 13x = 11 + 56 + - 6 + 8 + - 8x + 4x + 5x + - 2x

    Combine like terms: 11 + 56 = 67

    -27 + - 13x = 67 + - 6 + 8 + - 8x + 4x + 5x + - 2x

    Combine like terms: 67 + - 6 = 61

    -27 + - 13x = 61 + 8 + - 8x + 4x + 5x + - 2x

    Combine like terms: 61 + 8 = 69

    -27 + - 13x = 69 + - 8x + 4x + 5x + - 2x

    Combine like terms: - 8x + 4x = - 4x

    -27 + - 13x = 69 + - 4x + 5x + - 2x

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

    -27 + - 13x = 69 + 1x + - 2x

    Combine like terms: 1x + - 2x = - 1x

    -27 + - 13x = 69 + - 1x

    Solving

    -27 + - 13x = 69 + - 1x

    Solving for variable 'x'.

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

    Add 'x' to each side of the equation.

    -27 + - 13x + x = 69 + - 1x + x

    Combine like terms: - 13x + x = - 12x

    -27 + - 12x = 69 + - 1x + x

    Combine like terms: - 1x + x = 0

    -27 + - 12x = 69 + 0

    -27 + - 12x = 69

    Add '27' to each side of the equation.

    -27 + 27 + - 12x = 69 + 27

    Combine like terms: - 27 + 27 = 0

    0 + - 12x = 69 + 27

    -12x = 69 + 27

    Combine like terms: 69 + 27 = 96

    -12x = 96

    Divide each side by '-12'.

    x = - 8

    Simplifying

    x = - 8
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