Question
Answer
$$10-3(x-2)=-3x+16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}10-3(x-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10-(3x-6) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10-3x+6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-3x+16\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( x-2\right) $ $$ \color{blue}{3} \cdot \left( x-2\right) = 3x-6 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x-6 \right) = -3x+6 $$ |
| ③ | Combine like terms: $$ \color{blue}{10} -3x+ \color{blue}{6} = -3x+ \color{blue}{16} $$ |
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