$$ \begin{aligned} 3x+8-2\cdot(1-x) &= 1&& \text{simplify left side} \\[1 em]3x+8-(2-2x) &= 1&& \\[1 em]3x+8-2+2x &= 1&& \\[1 em]5x+6 &= 1&& \text{ move 6 to the right } \\[1 em]5x &= 1-6&& \\[1 em]5x &= -5&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{5}{5}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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