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

Question

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

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Valentina 19 mins 2021-09-15T02:09:29+00:00 1 Answer 0

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    2021-09-15T02:11:13+00:00

    Answer:

    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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