Question
Answer
$$2(x+4)\cdot2+5(x+4)+5=9x+41$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(x+4)\cdot2+5(x+4)+5& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(2x+8)\cdot2+5x+20+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x+16+5x+20+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}9x+36+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}9x+41\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( x+4\right) $ $$ \color{blue}{2} \cdot \left( x+4\right) = 2x+8 $$Multiply $ \color{blue}{5} $ by $ \left( x+4\right) $ $$ \color{blue}{5} \cdot \left( x+4\right) = 5x+20 $$ |
| ② | $$ \left( \color{blue}{2x+8}\right) \cdot 2 = 4x+16 $$ |
| ③ | Combine like terms: $$ \color{blue}{4x} + \color{red}{16} + \color{blue}{5x} + \color{red}{20} = \color{blue}{9x} + \color{red}{36} $$ |
| ④ | Combine like terms: $$ 9x+ \color{blue}{36} + \color{blue}{5} = 9x+ \color{blue}{41} $$ |
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