Question
Solve: $\frac{x-1}{5}-\frac{x}{3}=1-\frac{x-2}{2}$
✓
Answer
$\begin{aligned} & \frac{x-1}{5}-\frac{x}{3}=1-\frac{x-2}{2} \\ & \Rightarrow \frac{6 x-6-10 x=30-15 x+30}{30} \\ & \Rightarrow-4 x-6=60-15 x \\ & \Rightarrow 11 x-4 x=60+6 \\ & \Rightarrow x=\frac{66}{11}=6 \\ & \therefore x=6\end{aligned}$
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