Question
Answer
$$-4(x-9)-3+7x=3x+33$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-4(x-9)-3+7x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(4x-36)-3+7x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4x+36-3+7x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}3x+33\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( x-9\right) $ $$ \color{blue}{4} \cdot \left( x-9\right) = 4x-36 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(4x-36 \right) = -4x+36 $$ |
| ③ | Combine like terms: $$ \color{blue}{-4x} + \color{red}{36} \color{red}{-3} + \color{blue}{7x} = \color{blue}{3x} + \color{red}{33} $$ |
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