Question:

(Solve) 3x/8 = 1/5 (2x-3)?

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  1. 3x/8 = 1/5 (2x-3)

    15x = 8(2x - 3) = 16x-24

    so, x = 24


  2. 5(3x)=8(2x-3)

    15x=16x-24

    24=16x-15x

    24=x

  3. 3x/8 = 1/5(2x - 3) (multiply both sides by 40)

    15x = 8(2x - 3) (distributive property)

    15x = 16x - 24 (subtract 16x from both sides)

    -x = -24 (divide or multiply both sides by -1)

    x = 24 <===ANSWER

    Check:

    3x/8 = 1/5(2x - 3)

    3(24)/8 = 1/5(2(24) - 3)

    72/8 = 1/5(48 - 3)

    9 = 1/5(45)

    9 = 45/5

    9 = 9 (this is true, so x = 24 is correct)

  4. 3x/8 = 1/5(2x - 3) multiply each side by 40

    15x = 8(2x - 3)

    15x = 16x - 24

    x = 24

    Answer: x = 24

    Proof:

    (3[24])/8 = 1/5(2[24] - 3)

    72/8 = 1/5(48 - 3)

    9 = 1/5(45)

    9 = 9

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