$$ \begin{aligned} 3(x-2)+5 &= -2\cdot(1-x)&& \text{simplify left and right hand side} \\[1 em]3x-6+5 &= -(2-2x)&& \\[1 em]3x-1 &= -2+2x&& \\[1 em]3x-1 &= 2x-2&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]3x-2x &= -2+1&& \text{simplify left and right hand side} \\[1 em]x &= -1&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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