# How do you factor 5(2-j)+(2j-3)?

Aug 17, 2017

$\left(7 - 3 j\right)$

#### Explanation:

$5 \left(2 - j\right) + \left(2 j - 3\right)$

Removing the brackets

$10 - 5 j + 2 j - 3$

Collect like terms

$- 5 j + 2 j + 10 - 3$

Note: If it's simplify, then you can just add them up together to get out the answer..

But since it's factors..

$\left(- 5 j + 2 j\right) + \left(+ 10 - 3\right)$

$\left(- 5 j + 2 j\right) \left(+ 7\right)$

$j \left(- 5 + 2\right) + 1 \left(7\right)$

$j \left(- 3\right) + 1 \left(7\right) \to \text{No Factor?}$

But can be simplified to $\to \left(7 - 3 j\right)$