Question
Answer
$$2(x-1)-1(x+1)=x-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(x-1)-1(x+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x-2-(x+1) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x-2-x-1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}x-3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( x-1\right) $ $$ \color{blue}{2} \cdot \left( x-1\right) = 2x-2 $$Multiply $ \color{blue}{1} $ by $ \left( x+1\right) $ $$ \color{blue}{1} \cdot \left( x+1\right) = x+1 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( x+1 \right) = -x-1 $$ |
| ③ | Combine like terms: $$ \color{blue}{2x} \color{red}{-2} \color{blue}{-x} \color{red}{-1} = \color{blue}{x} \color{red}{-3} $$ |
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