Question

Find for x

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

Answer 1

The value of x for the given expression is (95/27)

Explanation:

Here, the given expression is:

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

Now here solving for the value of x , we get

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

Now, taking the variable terms on 1 side, we get

`(1)/(5) x   - 2x   = -6 -  (1)/(3) \\\implies(x  - 10x)/(5)   = -((6(3)  +1)/(3) )`

or,
`(-9x)/(5)   = -(19)/(3)   \implies x  = (19)/(3)  *(5)/(9)   = (95)/(27)`

Hence, the value of x = (95/27)