Question

Solve for x: 2 over 5 (x − 2) = 4x. (1 point) 2 over 9 9 negative 2 over 9 negative 9 over 2

Answer 1

`x = - (2)/(9)`

Step-by-step explanation

The given equation is :

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

We multiply both sides by
`(5)/(2)`

`(5)/(2) \cdot(2)/(5)(x - 2) = 4x * (5)/(2)`

We simplify to obtain:

`x - 2 = 10x`

Group similar terms to obtain:

`- 2 = 10x - x`

Simplify the right hand side.

`- 2 = 9x`

Divide both sides by 9.

`( - 2)/(9) = (9x)/(9)`

`- (2)/(9) = x`

Or

`x = - (2)/(9)`

The second choice is correct