Question
$$4x+5 = 2(2x-4)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 4x+5 &= 2(2x-4)&& \text{simplify right side} \\[1 em]4x+5 &= 4x-8&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]4x-4x &= -8-5&& \text{simplify left and right hand side} \\[1 em]4x-4x &= -13&& \\[1 em]0 &= -13&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -13 } $ is FALSE, we conclude that the equation has no solution.
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