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