$$ \begin{aligned} 1150+800+4x &= 850+200+10x&& \text{simplify left and right hand side} \\[1 em]4x+1950 &= 10x+1050&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 1950 }$ to the right} \\[1 em]4x-10x &= 1050-1950&& \text{simplify left and right hand side} \\[1 em]-6x &= -900&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= \frac{-900}{-6}&& \\[1 em]x &= 150&& \\[1 em] \end{aligned} $$

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