Question

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

Answer 1

Answer:

$x = \frac{21}{16}$ = 1 5/16

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

Step-by-step explanation:

$\frac{8}{5} (2x + 13) - 3 = 22$

Expand

$\frac{16}{5} x + \frac{104}{5} - 3 = 22 \\ \frac{16}{5} x + \frac{89}{5} = 2$

Collect like terms and simplify

$\frac{16}{5} x = 22 - \frac{89}{5} \\ \frac{16}{5} x = \frac{21}{5}$

Cross Multiply

$80x = 105$

Divide both sides of the equation by 80

$\frac{80x}{80} = \frac{105}{80} \\ x = \frac{21}{16}$