Problem

d) $\frac{2 x-1}{6}+\frac{x-1}{4}=\frac{17}{4}$

Answer

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Answer

Combine the fractions and solve for x: \(\frac{14x-10}{12} = \frac{17}{4}\) \(\Rightarrow\) \(x = \boxed{8}\)

Steps

Step 1 ：Find a common denominator for the fractions: \(\frac{2x-1}{6} + \frac{x-1}{4} = \frac{4(2x-1) + 6(x-1)}{12}\)

Step 2 ：Combine the fractions and solve for x: \(\frac{14x-10}{12} = \frac{17}{4}\) \(\Rightarrow\) \(x = \boxed{8}\)

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