$$ \begin{aligned} 4(x+1)+5 &= 6(x-1)+x&& \text{simplify left and right hand side} \\[1 em]4x+4+5 &= 6x-6+x&& \\[1 em]4x+9 &= 7x-6&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]4x-7x &= -6-9&& \text{simplify left and right hand side} \\[1 em]-3x &= -15&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-15}{-3}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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