Problem

a) $\frac{3 x}{4}-\frac{2 x}{3}=\frac{1}{2}$

Answer

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Answer

\(\boxed{x = 6}\)

Steps

Step 1 :Rewrite the equation with a common denominator of 12: \(\frac{9x}{12} - \frac{8x}{12} = \frac{1}{2}\)

Step 2 :Combine the fractions on the left side: \(\frac{x}{12} = \frac{1}{2}\)

Step 3 :Solve for x by multiplying both sides by 12: \(x = 6\)

Step 4 :\(\boxed{x = 6}\)

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