# How do you combine like terms in 2( 4x + 6) - ( 3x ^ { 2} - 5x + 18)?

Apr 12, 2018

$- 3 {x}^{2} + 13 x - 6$

#### Explanation:

Simplify the 2(4x+6). This is equal to 8x+12. Now the equation is $8 x + 12 - \left(3 {x}^{2} - 5 x + 18\right)$. Now distribute the negative in front of the $- \left(3 {x}^{2} - 5 x + 18\right)$. Now the equation is $\left(- 3 {x}^{2} + 5 x - 18\right)$. The final equation is $8 x + 12 - 3 {x}^{2} + 5 x - 18$. Combine 8x and 5x to get 13x. Then combine 12 and -18 to get -6. There is nothing to combine $- 3 {x}^{2}$ with so that is left alone. The final equation is $- 3 {x}^{2} + 13 x - 6$.