Question:

How do i solve this problem: 3/4(2x + 8) = 5 - x?

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How do i solve this problem: 3/4(2x + 8) = 5 - x?

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  1. solve for x and that will be the answer


  2. The question is not clear: is it 3 divided by 4*(2x+8) equals 5-x? Or is it 3 times (2x+8) divided by 4 equals 5-x?


  3. 3/4(2x + 8) = 5 - x (distributive property: multiply 3/4 to 2x and 8)

    3/2x + 6 = 5 - x (add x to both sides)

    5/2x + 6 = 5 (subtract 6 from both sides)

    5/2x = -1 (multiply both sides by 2/5)

    x = -2/5 <===ANSWER

  4. multiply both side by 4

    3(2x+8) = 4(5-x)

    expand the brackets

    6x + 24 = 20 - 4x

    collect similar terms

    6x + 4x = 20 - 24

    simplify

    10x = -4

    x = -4/10

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