$$ \begin{aligned} 5(\frac{x}{6}+4) &= 2x+10&& \text{simplify left side} \\[1 em]5 \cdot \frac{x+24}{6} &= 2x+10&& \\[1 em]\frac{5x+120}{6} &= 2x+10&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{5x+120}{6} &= 6\cdot2x+6\cdot10&& \text{cancel out the denominators} \\[1 em]5x+120 &= 12x+60&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 120 }$ to the right} \\[1 em]5x-12x &= 60-120&& \text{simplify left and right hand side} \\[1 em]-7x &= -60&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-60}{-7}&& \\[1 em]x &= \frac{60}{7}&& \\[1 em] \end{aligned} $$

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