Question
Answer
$$3\cdot(5-4x)+5(2x-3)=-2x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\cdot(5-4x)+5(2x-3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15-12x+10x-15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2x\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 5-4x\right) $ $$ \color{blue}{3} \cdot \left( 5-4x\right) = 15-12x $$Multiply $ \color{blue}{5} $ by $ \left( 2x-3\right) $ $$ \color{blue}{5} \cdot \left( 2x-3\right) = 10x-15 $$ |
| ② | Combine like terms: $$ \, \color{blue}{ \cancel{15}} \, \color{green}{-12x} + \color{green}{10x} \, \color{blue}{ -\cancel{15}} \, = \color{green}{-2x} $$ |
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