Question
Answer
$$3x-7x\cdot2+2-(4x\cdot2-5+6x)=-25x+7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3x-7x\cdot2+2-(4x\cdot2-5+6x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3x-14x+2-(8x-5+6x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-11x+2-(14x-5) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-11x+2-14x+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-25x+7\end{aligned} $$ | |
| ① | $$ 7 x \cdot 2 = 14 x $$$$ 4 x \cdot 2 = 8 x $$ |
| ② | Combine like terms: $$ \color{blue}{3x} \color{blue}{-14x} +2 = \color{blue}{-11x} +2 $$Combine like terms: $$ \color{blue}{8x} -5+ \color{blue}{6x} = \color{blue}{14x} -5 $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 14x-5 \right) = -14x+5 $$ |
| ④ | Combine like terms: $$ \color{blue}{-11x} + \color{red}{2} \color{blue}{-14x} + \color{red}{5} = \color{blue}{-25x} + \color{red}{7} $$ |
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