(4/3)-(x/(x+2))=(5/3x)

Question

have a friend in college that needs help

Answer 1

4/3-x/(x+2)=(4x+8-3x)/(3(x+2))=(x+8)/(3(x+2));

(x+8)/(3(x+2))=5/(3x). Cross-multiply:

3x(x+8)=15(x+2),

3x²+24x=15x+30,

3x²+9x-30=3(x²+3x-10)=0=3(x+5)(x-2), so x=-5 or 2.

CHECK

4/3-5/3=-5/15, -1/3=-1/3✔️

4/3-1/2=5/6, 8/6-3/6=5/6✔️