Answer
$$2x-3y-(5x-5y)=-3x+2y$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x-3y-(5x-5y)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x-3y-5x+5y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3x+2y\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5x-5y \right) = -5x+5y $$ |
| ② | Combine like terms: $$ \color{blue}{2x} \color{red}{-3y} \color{blue}{-5x} + \color{red}{5y} = \color{blue}{-3x} + \color{red}{2y} $$ |
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