Question

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

Answer 1

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.