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