$$ \begin{aligned} 7 &= 3x+2(x-4)&& \text{simplify right side} \\[1 em]7 &= 3x+2x-8&& \\[1 em]7 &= 5x-8&& \text{ swap the left and right side of the equation } \\[1 em]5x-8 &= 7&& \text{ move -8 to the right } \\[1 em]5x &= 7+8&& \\[1 em]5x &= 15&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{15}{5}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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