$$ \begin{aligned} -\frac{3}{4} &= 3 \cdot \frac{x}{4}+\frac{11}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]-8\cdot\frac{3}{4} &= 8\cdot3 \cdot \frac{x}{4}+8\cdot\frac{11}{8}&& \text{cancel out the denominators} \\[1 em]-6 &= 6x+11&& \text{ swap the left and right side of the equation } \\[1 em]6x+11 &= -6&& \text{ move 11 to the right } \\[1 em]6x &= -6-11&& \\[1 em]6x &= -17&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{17}{6}&& \\[1 em] \end{aligned} $$

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