Question
Answer
$$5e-17x\cdot5-e-12x\cdot4+8e-9x\cdot3-3e-5x\cdot2+0.0682x-0.0653=9e-170x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5e-17x\cdot5-e-12x\cdot4+8e-9x\cdot3-3e-5x\cdot2+0.0682x-0.0653& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}5e-85x-e-48x+8e-27x-3e-10x+0.0682x-0.0653 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}9e-170x+0.0682x-0.0653 \xlongequal{ } \\[1 em] & \xlongequal{ }9e-170x+0x-0.0653 \xlongequal{ } \\[1 em] & \xlongequal{ }9e-170x0x0 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}9e-170x\end{aligned} $$ | |
| ① | $$ 17 x \cdot 5 = 85 x $$ |
| ② | $$ 12 x \cdot 4 = 48 x $$ |
| ③ | $$ 9 x \cdot 3 = 27 x $$ |
| ④ | $$ 5 x \cdot 2 = 10 x $$ |
| ⑤ | Combine like terms: $$ \color{blue}{5e} \color{red}{-85x} \color{green}{-e} \color{orange}{-48x} + \color{blue}{8e} \color{red}{-27x} \color{blue}{-3e} \color{red}{-10x} = \color{blue}{9e} \color{red}{-170x} $$ |
| ⑥ | Combine like terms: $$ 9e \color{blue}{-170x} \color{blue}{0x} 0 = 9e \color{blue}{-170x} $$ |
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