Tap the blue circles to see an explanation.
$$ \begin{aligned}8x-3y-(2y-13+5x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x-3y-2y+13-5x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3x-5y+13\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2y-13+5x \right) = -2y+13-5x $$ |
② | Combine like terms: $$ \color{blue}{8x} \color{red}{-3y} \color{red}{-2y} +13 \color{blue}{-5x} = \color{blue}{3x} \color{red}{-5y} +13 $$ |