Question

`(5)/(x+2)=3` Solve for x.

Answer 1

5/x+2 = 3

..

5 = ( x + 2) 3

5 = 3x + 6

5 + (-6) = (3x + 6 + (-6)

-1 = (3x+6) - 6

-1 = 3x

switcharoo

3x/3 = -1/3

x = -1/3

Answer 2

X =
`- (1)/(3)`

Explanation:

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

Apply cross product property:

`5 * 1 = 3(x + 2)`

Distribute 3 through the parentheses:

`5 = 3x + 6`

Move variable to L.H.S and change its sign

`- 3x + 5 = 6`

Move constant to RHS and change its sign

`- 3x = 6 - 5`

Calculate

`- 3x = 1`

Divide both sides of the equation by -3

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

Calculate

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

Hope this helps...

Best regards!