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What is the solution of 5/2x-7=3/4x+14?
A. X=-6
B. X=6
C. X=8
D. X=13

User Tasha
by
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1 Answer

2 votes

Firstly, add 7 on both sides of the equation:


(5)/(2)x=(3)/(4)x+21

Next, before you can subtract 3/4x on both sides, you first have to find the LCD, or lowest common denominator, of 2 and 4. To find it, you would list the multiples of both and the lowest multiple they share is their LCD. In this case, the LCD is 4. Multiply 5/2 by 2/2 and 3/4 by 1/1:


(5)/(2)*(2)/(2) =(10)/(4)\\\\(3)/(4)* (1)/(1)=(3)/(4)\\\\(10)/(4)x=(3)/(4)x+21

Now subtract 3/4x on both sides of the equation:
(7)/(4)x=21

Lastly, multiply both sides by 4/7 and your answer will be x = 12.

User HeartWare
by
8.1k points

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