$$ \begin{aligned} 1150+900+4x &= 650+400+8x&& \text{simplify left and right hand side} \\[1 em]4x+2050 &= 8x+1050&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 2050 }$ to the right} \\[1 em]4x-8x &= 1050-2050&& \text{simplify left and right hand side} \\[1 em]-4x &= -1000&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-1000}{-4}&& \\[1 em]x &= 250&& \\[1 em] \end{aligned} $$

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