How do you solve \frac { 6} { x } + 4= \frac { 17} { 4x } + 3?

1 Answer
Nov 28, 2017

x=-7/4

Explanation:

You want to end up with something that has x on one side, numbers on the other.

Move the 3 across (or subtract 3 from both sides):
6/x+1=17/(4x)

Move across the 6/x:
17/(4x)-6/x=1

Combine the fractions by multiplying the 6/x by four (top and bottom)
17/(4x)-24/(4x)=1
-7/(4x)=1

Multiply through by 4x:
-7=4x

Divide by 4:
:.x=-7/4