Question
Answer
$$2(x-4)+3(x+5)=5x+7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(x-4)+3(x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x-8+3x+15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x+7\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( x-4\right) $ $$ \color{blue}{2} \cdot \left( x-4\right) = 2x-8 $$Multiply $ \color{blue}{3} $ by $ \left( x+5\right) $ $$ \color{blue}{3} \cdot \left( x+5\right) = 3x+15 $$ |
| ② | Combine like terms: $$ \color{blue}{2x} \color{red}{-8} + \color{blue}{3x} + \color{red}{15} = \color{blue}{5x} + \color{red}{7} $$ |
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