Question
$$4(x-5) = 3(x+1)$$
Answer
$$ x = 23 $$
Explanation
$$ \begin{aligned} 4(x-5) &= 3(x+1)&& \text{simplify left and right hand side} \\[1 em]4x-20 &= 3x+3&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -20 }$ to the right} \\[1 em]4x-3x &= 3+20&& \text{simplify left and right hand side} \\[1 em]x &= 23&& \\[1 em]x &= 23&& \\[1 em] \end{aligned} $$
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