Answer:
x = 1
Step-by-step explanation:
[tex]\dfrac{16-x}{5}=2+x\\\\Multiply \ both \ sides \ by \ 5\\\\5*\dfrac{16-x}{5}=5*(2+x)\\\\[/tex]
16-x = 5*(2 + x)
Use distributive property
16 - x = 5*2 + 5* x
16 -x = 10 + 5x
Add x to both sides
16 = 10 + 5x + x
16 = 10 + 6x
Subtract 10 from both sides
16 - 10 = 6x
6 = 6x
Divide both sides by 6
6/6 = x
x = 1