Answer:
[tex]x = \frac{21}{16} [/tex] = 1 5/16
[/tex] 1 \frac{5}{16}[/tex]
Step-by-step explanation:
[tex] \frac{8}{5} (2x + 13) - 3 = 22[/tex]
Expand
[tex] \frac{16}{5} x + \frac{104}{5} - 3 = 22 \\ \frac{16}{5} x + \frac{89}{5} = 2[/tex]
Collect like terms and simplify
[tex] \frac{16}{5} x = 22 - \frac{89}{5} \\ \frac{16}{5} x = \frac{21}{5} [/tex]
Cross Multiply
[tex]80x = 105[/tex]
Divide both sides of the equation by 80
[tex] \frac{80x}{80} = \frac{105}{80} \\ x = \frac{21}{16} [/tex]
