$$ \begin{aligned} \frac{84}{10}x+\frac{76}{10} &= \frac{26}{10}-\frac{41}{10}x&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{84}{10}x+10\cdot\frac{76}{10} &= 10\cdot\frac{26}{10}-10\frac{41}{10}x&& \text{cancel out the denominators} \\[1 em]84x+76 &= 26-41x&& \text{move the $ \color{blue}{ -41x } $ to the left side and $ \color{blue}{ 76 }$ to the right} \\[1 em]84x+41x &= 26-76&& \text{simplify left and right hand side} \\[1 em]125x &= -50&& \text{ divide both sides by $ 125 $ } \\[1 em]x &= -\frac{50}{125}&& \\[1 em]x &= -\frac{2}{5}&& \\[1 em] \end{aligned} $$

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