Question

8/5 ( 2x + 13 ) - 3 = 22

Answer 1

`x = (21)/(16)` = 1 5/16

[/tex] 1 \frac{5}{16}[/tex]

Explanation:

`(8)/(5) (2x + 13) - 3 = 22`

Expand

`(16)/(5) x + (104)/(5) - 3 = 22 \\ (16)/(5) x + (89)/(5) = 2`

Collect like terms and simplify

`(16)/(5) x = 22 - (89)/(5) \\ (16)/(5) x = (21)/(5)`

Cross Multiply

`80x = 105`

Divide both sides of the equation by 80

`(80x)/(80) = (105)/(80) \\ x = (21)/(16)`