Question
$$50x+20 = 20x+30$$
Answer
$$ x = \dfrac{1}{3} $$
Explanation
$$ \begin{aligned} 50x+20 &= 20x+30&& \text{move the $ \color{blue}{ 20x } $ to the left side and $ \color{blue}{ 20 }$ to the right} \\[1 em]50x-20x &= 30-20&& \text{simplify left and right hand side} \\[1 em]30x &= 10&& \text{ divide both sides by $ 30 $ } \\[1 em]x &= \frac{10}{30}&& \\[1 em]x &= \frac{1}{3}&& \\[1 em] \end{aligned} $$
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