$$ \begin{aligned} 1150+40x &= 800+50x&& \text{move the $ \color{blue}{ 50x } $ to the left side and $ \color{blue}{ 1150 }$ to the right} \\[1 em]40x-50x &= 800-1150&& \text{simplify left and right hand side} \\[1 em]-10x &= -350&& \text{ divide both sides by $ -10 $ } \\[1 em]x &= \frac{-350}{-10}&& \\[1 em]x &= 35&& \\[1 em] \end{aligned} $$

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