Question
$$6(x+8) = 6x-8$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6(x+8) &= 6x-8&& \text{simplify left side} \\[1 em]6x+48 &= 6x-8&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 48 }$ to the right} \\[1 em]6x-6x &= -8-48&& \text{simplify left and right hand side} \\[1 em]6x-6x &= -56&& \\[1 em]0 &= -56&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -56 } $ is FALSE, we conclude that the equation has no solution.
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