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14 October, 08:56

25 - (3x + 5) = 2 (x+8) + x how do you do it step by step?

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  1. 14 October, 09:08
    0
    Simplifying

    25 + - 1 (3x + 5) = 2 (x + 8) + x

    Reorder the terms:

    25 + - 1 (5 + 3x) = 2 (x + 8) + x

    25 + (5 * - 1 + 3x * - 1) = 2 (x + 8) + x

    25 + (-5 + - 3x) = 2 (x + 8) + x

    Combine like terms: 25 + - 5 = 20

    20 + - 3x = 2 (x + 8) + x

    Reorder the terms:

    20 + - 3x = 2 (8 + x) + x

    20 + - 3x = (8 * 2 + x * 2) + x

    20 + - 3x = (16 + 2x) + x

    Combine like terms: 2x + x = 3x

    20 + - 3x = 16 + 3x

    Solving

    20 + - 3x = 16 + 3x

    Solving for variable 'x'.

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

    Add '-3x' to each side of the equation.

    20 + - 3x + - 3x = 16 + 3x + - 3x

    Combine like terms: - 3x + - 3x = - 6x

    20 + - 6x = 16 + 3x + - 3x

    Combine like terms: 3x + - 3x = 0

    20 + - 6x = 16 + 0

    20 + - 6x = 16

    Add '-20' to each side of the equation.

    20 + - 20 + - 6x = 16 + - 20

    Combine like terms: 20 + - 20 = 0

    0 + - 6x = 16 + - 20

    -6x = 16 + - 20

    Combine like terms: 16 + - 20 = - 4

    -6x = - 4

    Divide each side by '-6'.

    x = 0.6666666667

    Simplifying

    x = 0.6666666667
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