$$ \begin{aligned} x\cdot6+2x+44 &= x-12-3-2x\cdot3&& \text{simplify left and right hand side} \\[1 em]x\cdot6+2x+44 &= x-12-3-6x&& \\[1 em]8x+44 &= -5x-15&& \text{move the $ \color{blue}{ -5x } $ to the left side and $ \color{blue}{ 44 }$ to the right} \\[1 em]8x+5x &= -15-44&& \text{simplify left and right hand side} \\[1 em]13x &= -59&& \text{ divide both sides by $ 13 $ } \\[1 em]x &= -\frac{59}{13}&& \\[1 em] \end{aligned} $$

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