$$ \begin{aligned} 24+\frac{11}{25}x &= 19+\frac{169}{100}x&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100\cdot24+100 \cdot \frac{11}{25}x &= 100\cdot19+100 \cdot \frac{169}{100}x&& \text{cancel out the denominators} \\[1 em]2400+44x &= 1900+169x&& \text{move the $ \color{blue}{ 169x } $ to the left side and $ \color{blue}{ 2400 }$ to the right} \\[1 em]44x-169x &= 1900-2400&& \text{simplify left and right hand side} \\[1 em]-125x &= -500&& \text{ divide both sides by $ -125 $ } \\[1 em]x &= \frac{-500}{-125}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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