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SAT Prep

Category - Math

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What is the solution of 3 − (x − 1)/2 + (x + 2)/3 = (x + 3)/8?

Explanation

Answer: D - The solution of the equation is 13.
3 − (x − 1)/2 + (x + 2)/3 = (x + 3)/8 × 24
24 × 3 − 24 × (x − 1)/2 + 24 × (x + 2)/3 = 24 × (x + 3)/8
72 − 12(x − 1) + 8(x + 2) = 3(x + 3)
72 − 12x + 12 + 8x + 16 = 3x + 9
100 − 4x = 3x + 9
− 4x − 3x = 9 − 100
− 7x = − 91
x = ( − 91)/( − 7)
x = 13

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