Question

What are the steps to this equation

Answer 1

x=7 is the correct answer

Answer 2

`x=7`

Explanation:

`(2)/(5)x+(1)/(3)=(1)/(3)x+(4)/(5)`

Subtract
`(1)/(3)` from both sides:

`(2)/(5)x+(1)/(3)-(1)/(3)=(1)/(3)x+(4)/(5)-(1)/(3)`

`(2)/(5) x=(1)/(3)x+(12)/(15)-(5)/(15)`

`(2)/(5)x=(1)/(3)x+(7)/(15)`

Subtract
`(1)/(3) x` from both sides:

`(2)/(5)x-(1)/(3)x=(1)/(3)x+(7)/(15)-(1)/(3)x`

`(6)/(15)x-(5)/(15)x=(7)/(15)`

`(1)/(15)x=(7)/(15)`

Multiply both sides by 15:

`15* (1)/(15)x=(7* 15)/(15)`

`x=(105)/(15)`

`x=7`