$$ \begin{aligned} 35-\frac{4x\cdot5+2x\cdot5}{6}+13 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot35-6 \cdot \frac{4x\cdot5+2x\cdot5}{6}+6\cdot13 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]210-30x+78 &= 0&& \text{simplify left side} \\[1 em]-30x+288 &= 0&& \text{ move the constants to the right } \\[1 em]-30x &= -288&& \text{ divide both sides by $ -30 $ } \\[1 em]x &= \frac{-288}{-30}&& \\[1 em]x &= \frac{48}{5}&& \\[1 em] \end{aligned} $$

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