$$ \begin{aligned} 13 &= -2(x-4)+3x&& \text{simplify right side} \\[1 em]13 &= -(2x-8)+3x&& \\[1 em]13 &= -2x+8+3x&& \\[1 em]13 &= x+8&& \text{ swap the left and right side of the equation } \\[1 em]x+8 &= 13&& \text{ move 8 to the right } \\[1 em]x &= 13-8&& \\[1 em]x &= 5&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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