How do you solve the rational equation #1/2 - 3/(2x) = 4/x - 5/12#?

Answer 1

x=6

#1/2-3/(2x)=4/x-5/12# arranging the like terms with each other #1/2+5/12=4/x+3/(2x)# taking L.C.M, #(6+5)/12=(8+3)/(2x)# #11/12=11/(2x)# simplifying, #1/12=1/(2x)# #12=2x# #x=12/2# #x=6#

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Answer 2

Hazel Anglin

To solve the rational equation 1/2 - 3/(2x) = 4/x - 5/12, you can follow these steps:

Find a common denominator for all the fractions involved. In this case, the common denominator is 12x.
Multiply every term in the equation by the common denominator to eliminate the fractions.
Simplify the equation by distributing and combining like terms.
Solve the resulting equation for x.

The solution to the equation is x = 6.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.