Question

I believe this is pretty easy but it's: solve for x using common denominators 3/4(x+2)=x/(x+3) Answer choices below:

Answer 1

x =
`(3)/(4)`

Explanation:

Given

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

multiply numerator/ denominator of
`(x)/(x+2)` by 4, thus

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

Since the denominators are common , equate the numerators, that is

4x = 3 ( divide both sides by 4 )

x =
`(3)/(4)`