Question 130066
THE RECIPROCAL OF 2 TIMES AN INTEGER IS 1/2X
THE RECIPROCAL OF 2 MORE THAN TWICE THE INTEGER IS 1/(2X+2)
1/2X+1/(2X+2)=7/24 FIND A COMMON DENOMINATOR FOR THE LEFT TERMS:
(2+2X+2X)/2X(2X+2)=7/24
(2+4X)/(4X^2+4X)=7/24 NOW CROSS MULTIPLY:
7(4X^2+4X)=24(2+4X)
28X^2+28X=48+96X
28X^2+28X-96X-48=0
28X^2-68X-48=0
4(7X^2-17X-12)=0
4(7X+4)(X-3)=0
7X+4=0
7X=-4
X=-4/7 ANSWER 
X-3=0
X=3 ANSWER.
PROOF:
1/2*3+1/(2*3+2)=7/24
1/6+1/8=7/24
(8+6)/48=7/24
14/48=7/24
7/24=7/24