Question
Answer
$$3(2x-5)+2(2x+5)=10x-5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3(2x-5)+2(2x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6x-15+4x+10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10x-5\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 2x-5\right) $ $$ \color{blue}{3} \cdot \left( 2x-5\right) = 6x-15 $$Multiply $ \color{blue}{2} $ by $ \left( 2x+5\right) $ $$ \color{blue}{2} \cdot \left( 2x+5\right) = 4x+10 $$ |
| ② | Combine like terms: $$ \color{blue}{6x} \color{red}{-15} + \color{blue}{4x} + \color{red}{10} = \color{blue}{10x} \color{red}{-5} $$ |
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