Question

What is the value of x?
3/5x (fraction) - 1/3x = x - 1

Answer 1

Answer:
`x=(15)/(11)`

Explanation:

`(3)/(5) x-(1)/(3)x=x-1`

1. Find the common denominator, which is 15

2. Multiply each denominator to get 15

`(9)/(15) x-(5)/(15)x=x-1`

3. Combine like terms

`(4)/(15) x=x-1`

4. Subtract x from the right

`(4)/(15) x-x=1`

5. Combine the terms

`-(11)/(15) x=-1`

6. Multiply both sides by 15 to remove the fraction

`-11x=-15`

7. Divide both sides by -11

`x=(15)/(11)`