Question

Which of the following represents the solution of 3/2=3/2x-6/5x?

Answer 1

Multiply the entire equation by the least common denominator which would be 10 to satisfy the the 1/2 and 1/ 5 so
15 = 15x - 12x
15 = 3x
Divide by 3 on both sides
5 = x

Answer 2

`x=(1)/(5)`

Explanation:

We have been given an equation
`(3)/(2)=(3)/(2x)-(6)/(5x)`. We are supposed to solve our given equation.

Upon multiplying both sides of our equation by 10x (least common multiple of 2, 2x and 5x), we will get:

`(3)/(2)* 10x=(3)/(2x)* 10x-(6)/(5x)* 10x`

`3* 5x=3* 5-6* 2`

`15x=15-12`

`15x=3`

`(15x)/(15)=(3)/(15)`

`x=(1)/(5)`

Therefore, the solution for our given equation is
`x=(1)/(5)`.