$$ \begin{aligned} 5(4x+3)-4(2x+1) &= 45&& \text{simplify left side} \\[1 em]20x+15-(8x+4) &= 45&& \\[1 em]20x+15-8x-4 &= 45&& \\[1 em]12x+11 &= 45&& \text{ move 11 to the right } \\[1 em]12x &= 45-11&& \\[1 em]12x &= 34&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{34}{12}&& \\[1 em]x &= \frac{17}{6}&& \\[1 em] \end{aligned} $$

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