Question
$$-2(2x+3) = -4x+6$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -2(2x+3) &= -4x+6&& \text{simplify left side} \\[1 em]-(4x+6) &= -4x+6&& \\[1 em]-4x-6 &= -4x+6&& \text{move the $ \color{blue}{ -4x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]-4x+4x &= 6+6&& \text{simplify left and right hand side} \\[1 em]-4x+4x &= 12&& \\[1 em]0 &= 12&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 12 } $ is FALSE, we conclude that the equation has no solution.
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