SOLUTION: solve the following equation 5/x+2=4/x-3

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Question 98946: solve the following equation
5/x+2=4/x-3

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
5/x+2=4/x-3
(5)(x-3)=(4)(x+2) [cross-multiply]
5x-15=4x+8
5x-4x-15=4x-4x+8
x-15=8
x-15+15=8+15
x=23
.
Check by plugging (x=23) back into the original equation and solve:
5/x+2=4/x-3
5/(23)+2=4/(23)-3
5/25=4/20 [cross-multiply and solve]
1/5=15 [checks out]