$$ \begin{aligned} 13(6x-5)-x &= 13-2(x+1)&& \text{simplify left and right hand side} \\[1 em]78x-65-x &= 13-(2x+2)&& \\[1 em]77x-65 &= 13-2x-2&& \\[1 em]77x-65 &= -2x+11&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ -65 }$ to the right} \\[1 em]77x+2x &= 11+65&& \text{simplify left and right hand side} \\[1 em]79x &= 76&& \text{ divide both sides by $ 79 $ } \\[1 em]x &= \frac{76}{79}&& \\[1 em] \end{aligned} $$

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