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14 June, 11:08

if anyone can solve this gets a $10 gamestop card i already got the codeSolve for x. Show each step of the solution. 2.5 (10 - x) + 10 = 72 - 1.5 (5x + 12)

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  1. 14 June, 14:19
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    Remark

    Forget the Gamestop. I'd never use it. This one is on the house.

    Solution

    2.5 (10 - x) + 10 = 72 - 1.5x * (5x + 12) The first step is to remove the brackets. Be very careful you understand the bracket on the right.

    25 - 2.5x + 10 = 72 - 7.5x - 18 Study the signs carefully. Collect like terms.

    35 - 2.5x = 54 - 7.5x Add 7.5x to both sides.

    35 - 2.5x + 7.5x = 54 - 7.5x + 7.5x

    35 + 5x = 54 Subtract 35 from both sides.

    5x = 19 Divide by 5

    x = 19/5

    x = 3 4/5 = 3.8

    Check

    When you numbers are so cumbersome, you should check the answer.

    LHS

    2.5 (10 - 3.8) + 10

    2.5 (6.2) + 10

    15.5 + 10

    25.5

    RHS

    72 - 1.5 (5*3.8 + 12)

    72 - 1.5 (19 + 12)

    72 - 1.5 (31)

    72 - 46.5

    25.5

    RHS = LHS The solution checks.
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