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