Question
$$3(8x-1) = 6(4x+5)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3(8x-1) &= 6(4x+5)&& \text{simplify left and right hand side} \\[1 em]24x-3 &= 24x+30&& \text{move the $ \color{blue}{ 24x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]24x-24x &= 30+3&& \text{simplify left and right hand side} \\[1 em]24x-24x &= 33&& \\[1 em]0 &= 33&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 33 } $ is FALSE, we conclude that the equation has no solution.
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