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22 January, 16:31

Need to solve this problem in steps 5 (2x+6) = -4 (-5-2x) + 3x

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  1. 22 January, 17:49
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    Simplifying

    5 (2x + 6) = - 4 (-5 + - 2x) + 3x

    Reorder the terms:

    5 (6 + 2x) = - 4 (-5 + - 2x) + 3x

    (6 * 5 + 2x * 5) = - 4 (-5 + - 2x) + 3x

    (30 + 10x) = - 4 (-5 + - 2x) + 3x

    30 + 10x = (-5 * - 4 + - 2x * - 4) + 3x

    30 + 10x = (20 + 8x) + 3x

    Combine like terms: 8x + 3x = 11x

    30 + 10x = 20 + 11x

    Solving

    30 + 10x = 20 + 11x

    Solving for variable 'x'.

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

    Add '-11x' to each side of the equation.

    30 + 10x + - 11x = 20 + 11x + - 11x

    Combine like terms: 10x + - 11x = - 1x

    30 + - 1x = 20 + 11x + - 11x

    Combine like terms: 11x + - 11x = 0

    30 + - 1x = 20 + 0

    30 + - 1x = 20

    Add '-30' to each side of the equation.

    30 + - 30 + - 1x = 20 + - 30

    Combine like terms: 30 + - 30 = 0

    0 + - 1x = 20 + - 30

    -1x = 20 + - 30

    Combine like terms: 20 + - 30 = - 10

    -1x = - 10

    Divide each side by '-1'.

    x = 10

    Simplifying

    x = 10
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