<PRE><B>Question 133463</B>
1/(2X-4)+1/(X-2)=3/2 COMBINE THE 2 FRACTIONS BY FINDING A COMMON DENOMINATOR WHICH IS (2X-4)(X-2).
(X-2+2X-4)/(2X-4)(X-2)=3/2
(3X-6)/(2X^2-8X+8)=3/2 NOW CROSS MULTIPLY
3(2X^2-8X+8)=2(3X-6)
6X^2-24X+24=6X-12
6X^2-24X-6X+24+12=0
6X^2-30X+36=0
6(X^2-5X+6)=0
6(X-3)(X-2)=0
X-3=0
X=3 ANSWER.
X-2=0
X=2 ANSWER.

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