$$15 = 5+4(2x-3)$$

$$ \begin{aligned} 15 &= 5+4(2x-3)&& \text{simplify right side} \\[1 em]15 &= 5+8x-12&& \\[1 em]15 &= 8x-7&& \text{ swap the left and right side of the equation } \\[1 em]8x-7 &= 15&& \text{ move -7 to the right } \\[1 em]8x &= 15+7&& \\[1 em]8x &= 22&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{22}{8}&& \\[1 em]x &= \frac{11}{4}&& \\[1 em] \end{aligned} $$

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