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