Question

7/2x- 5/3= -2/3x-4 Simplify your answer as much as possible X= ?

Answer 1

Step 1

Given:

`(7)/(2)x-(5)/(3)=-(2)/(3)x-4`

Required: To find the value of x

Step 2

Bring like terms together.

`(7)/(2)x+(2)/(3)x=(5)/(3)-4`
`(25)/(6)x=-(7)/(3)`
`\begin{gathered} (6)/(25)((25)/(6))x=-(7)/(3)((6)/(25)) \\ x=-(42)/(75) \\ x=-(14)/(25) \end{gathered}`

Hence, x = -(14/25)