Question : If $\frac{5x}{2}-\frac{[7(6x-\frac{3}{2})]}{4}=\frac{5}{8}$, then what is the value of $x$?
Option 1: $\frac{1}{4}$
Option 2: $-\frac{1}{4}$
Option 3: $4$
Option 4: $–4$
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Correct Answer: $\frac{1}{4}$
Solution : Given: $\frac{5x}{2}-\frac{[7(6x-\frac{3}{2})]}{4}=\frac{5}{8}$ ⇒ $\frac{5x}{2}-\frac{(84x-21)}{2×4}=\frac{5}{8}$ ⇒ $\frac{20x-84x+21}{8}=\frac{5}{8}$ ⇒ $-64x=-16$ ⇒ $x=\frac{1}{4}$ Hence, the correct answer is $\frac{1}{4}$.
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