Perform the indicated operation. x + 5 / 3 -X - 3 / 2​

Question

Perform the indicated operation.

`x + 5 / 3` -
`X - 3 / 2​`

Answer 1

`x + (5)/(3)-x - (3)/(2) = (1)/(6)`

Explanation:

Given

`x + (5)/(3)-x - (3)/(2)`

Required

Solve

`x + (5)/(3)-x - (3)/(2)`

Collect like terms

`x + (5)/(3)-x - (3)/(2) = x -x+ (5)/(3) - (3)/(2)`

`x + (5)/(3)-x - (3)/(2) = (5)/(3) - (3)/(2)`

Take LCM

`x + (5)/(3)-x - (3)/(2) = (10 -9)/(6)`

`x + (5)/(3)-x - (3)/(2) = (1)/(6)`