1.2x-7=1.3(x-12) how do you solve this equation

Question

1.2x-7=1.3(x-12) how do you solve this equation

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Julia 1 week 2022-01-07T05:34:32+00:00 1 Answer 0 views 0

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  1. Emma
    0
    2022-01-07T05:35:38+00:00

    Answer:

    x = 86.

    Step-by-step explanation:

    Solve for x:

    1.2 x – 7 = 1.3 (x – 12)

    Expand out terms of the right hand side:

    1.2 x – 7 = 1.3 x – 15.6

    Subtract 1.3 x from both sides:

    (1.2 x – 1.3 x) – 7 = (1.3 x – 1.3 x) – 15.6

    1.2 x – 1.3 x = -0.1 x:

    -0.1 x – 7 = (1.3 x – 1.3 x) – 15.6

    1.3 x – 1.3 x = 0:

    -0.1 x – 7 = -15.6

    Add 7 to both sides:

    (7 – 7) – 0.1 x = 7 – 15.6

    7 – 7 = 0:

    -0.1 x = 7 – 15.6

    7 – 15.6 = -8.6:

    -0.1 x = -8.6

    Divide both sides of -0.1 x = -8.6 by -0.1:

    (-0.1 x)/(-0.1) = (-8.6)/(-0.1)

    (-0.1)/(-0.1) = 1:

    x = (-8.6)/(-0.1)

    (-8.6)/(-0.1) = 86.:

    Answer: x = 86.

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