$$ \begin{aligned} 1.5+3+4+x &= 1.5\cdot3\cdot4x&& \text{simplify left and right hand side} \\[1 em]1.5+3+4+x &= 3\cdot4x&& \\[1 em]x+8 &= 12x&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]x-12x &= -8&& \text{simplify left side} \\[1 em]-11x &= -8&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= \frac{-8}{-11}&& \\[1 em]x &= \frac{8}{11}&& \\[1 em] \end{aligned} $$
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