Tap the blue circles to see an explanation.
$$ \begin{aligned}-5(-b+2)+7& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(-5b+10)+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5b-10+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}5b-3\end{aligned} $$ | |
① | Multiply $ \color{blue}{5} $ by $ \left( -b+2\right) $ $$ \color{blue}{5} \cdot \left( -b+2\right) = -5b+10 $$ |
② | Remove the parentheses by changing the sign of each term within them. $$ - \left(-5b+10 \right) = 5b-10 $$ |
③ | Combine like terms: $$ 5b \color{blue}{-10} + \color{blue}{7} = 5b \color{blue}{-3} $$ |