Question
$$6x-5 = 3(2x+7)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6x-5 &= 3(2x+7)&& \text{simplify right side} \\[1 em]6x-5 &= 6x+21&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]6x-6x &= 21+5&& \text{simplify left and right hand side} \\[1 em]6x-6x &= 26&& \\[1 em]0 &= 26&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 26 } $ is FALSE, we conclude that the equation has no solution.
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