Question
Answer
$$2(5x+3)+3(4x+3)=22x+15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(5x+3)+3(4x+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10x+6+12x+9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}22x+15\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( 5x+3\right) $ $$ \color{blue}{2} \cdot \left( 5x+3\right) = 10x+6 $$Multiply $ \color{blue}{3} $ by $ \left( 4x+3\right) $ $$ \color{blue}{3} \cdot \left( 4x+3\right) = 12x+9 $$ |
| ② | Combine like terms: $$ \color{blue}{10x} + \color{red}{6} + \color{blue}{12x} + \color{red}{9} = \color{blue}{22x} + \color{red}{15} $$ |
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