Question
$$4x-7 = 2(2x+5)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 4x-7 &= 2(2x+5)&& \text{simplify right side} \\[1 em]4x-7 &= 4x+10&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]4x-4x &= 10+7&& \text{simplify left and right hand side} \\[1 em]4x-4x &= 17&& \\[1 em]0 &= 17&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 17 } $ is FALSE, we conclude that the equation has no solution.
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