Question
Solve: $\frac{3 x-2}{7}-\frac{x-2}{4}=2$

Answer


$\begin{aligned} & \frac{3 x-2}{7}-\frac{x-2}{4}=2 \\ & \Rightarrow \frac{12 x-8-7 x+14}{28}=2 \\ & \Rightarrow \frac{5 x+6}{28}=2 \\ & \Rightarrow 5 x+6=28 \times 2 \\ & \Rightarrow 5 x+6=56 \\ & \Rightarrow 5 x=56-6=50 \\ & \Rightarrow x=\frac{50}{5}=10 \\ & \therefore x=10\end{aligned}$

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