## anonymous 4 years ago how do i solve u=3x+1/2x+5 for x... show work pls

1. myininaya

$u=\frac{3x+1}{2x+5}$ Multiply (2x+5) on both sides.

2. anonymous

got that far

3. myininaya

$(2x+5)u=3x+1$ Distribute! $2x u +5 u =3x +1$

4. myininaya

put terms with u on one side and terms without u on the other side

5. anonymous

alright, then haha?

6. myininaya

$2 x u-3 x= 1- 5u$ sorry i wrote that backwards terms with x on one side and terms without x on the other

7. myininaya

now factor $x(2 u -3) =1- 5u$

8. myininaya

$x=\frac{1 - 5u}{2u -3}$

9. anonymous

got it. thank you :D