$$ \begin{aligned} \frac{3}{5}x-11+5x &= 4x+25&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{3}{5}x-5\cdot11+5\cdot5x &= 5\cdot4x+5\cdot25&& \text{cancel out the denominators} \\[1 em]3x-55+25x &= 20x+125&& \text{simplify left side} \\[1 em]28x-55 &= 20x+125&& \text{move the $ \color{blue}{ 20x } $ to the left side and $ \color{blue}{ -55 }$ to the right} \\[1 em]28x-20x &= 125+55&& \text{simplify left and right hand side} \\[1 em]8x &= 180&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{180}{8}&& \\[1 em]x &= \frac{45}{2}&& \\[1 em] \end{aligned} $$

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