Question 205931
X/(X-4)+(X+6)/2(X-4)=3
(2X+X+6)/2(X-4)=3
(3X+6)/(2X-8)=3
3(2X-8)=3X+6
6X-24=3X+6
6X-3X=6+24
3X=30
X=30/3
X=10 ANS. FOR THE ORIGINAL NUMERATOR.
(10-4)=6 IS THE ORIGINAL DENOMINATOR.
PROOF:
10/6+16/2*6=3
10/6+16/12=3
20/12+16/12=3
36/12=3
3=3