Question
$$3(2x+5) = 2(x+8)+4x$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3(2x+5) &= 2(x+8)+4x&& \text{simplify left and right hand side} \\[1 em]6x+15 &= 2x+16+4x&& \\[1 em]6x+15 &= 6x+16&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]6x-6x &= 16-15&& \text{simplify left and right hand side} \\[1 em]6x-6x &= 1&& \\[1 em]0 &= 1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 1 } $ is FALSE, we conclude that the equation has no solution.
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