Question
Answer
$$5(x-2)-3(x+4)=2x-22$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5(x-2)-3(x+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x-10-(3x+12) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x-10-3x-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2x-22\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5} $ by $ \left( x-2\right) $ $$ \color{blue}{5} \cdot \left( x-2\right) = 5x-10 $$Multiply $ \color{blue}{3} $ by $ \left( x+4\right) $ $$ \color{blue}{3} \cdot \left( x+4\right) = 3x+12 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x+12 \right) = -3x-12 $$ |
| ③ | Combine like terms: $$ \color{blue}{5x} \color{red}{-10} \color{blue}{-3x} \color{red}{-12} = \color{blue}{2x} \color{red}{-22} $$ |
This page was created using
Simplify polynomials calculator