$$ \begin{aligned} -2 \cdot \frac{5x+4}{3} &= -\frac{1}{3}(27x+25)&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]-3\cdot2 \cdot \frac{5x+4}{3} &= -3 \cdot \frac{1}{3}(27x+25)&& \text{cancel out the denominators} \\[1 em]-(10x+8) &= -(27x+25)&& \text{simplify left and right hand side} \\[1 em]-10x-8 &= -27x-25&& \text{move the $ \color{blue}{ -27x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]-10x+27x &= -25+8&& \text{simplify left and right hand side} \\[1 em]17x &= -17&& \text{ divide both sides by $ 17 $ } \\[1 em]x &= -\frac{17}{17}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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