Tap the blue circles to see an explanation.
| $$ \begin{aligned}12x+6(7x-15)+23-25x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12x+42x-90+23-25x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}54x-90+23-25x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}29x-67\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{6} $ by $ \left( 7x-15\right) $ $$ \color{blue}{6} \cdot \left( 7x-15\right) = 42x-90 $$ |
| ② | Combine like terms: $$ \color{blue}{12x} + \color{blue}{42x} -90 = \color{blue}{54x} -90 $$ |
| ③ | Combine like terms: $$ \color{blue}{54x} \color{red}{-90} + \color{red}{23} \color{blue}{-25x} = \color{blue}{29x} \color{red}{-67} $$ |