Question

6/x+4 + 4/x+4=-5 the solution set is

Answer 1

Since the side of the equation containing the x-values is comprised of 2 fractions with the same denominator, it is fairly easy to remove these fractions; just multiply both sides of the equation by this common denominator:

(x+4)(6/x+4 + 4/x+4) = (x+4)(-5)

This leaves only the numerators of the original fractions on one side, while moving the x-values to the other side:

6 + 4 = -5x -20

Now solve for x:

10 = -5x -20
30 = -5x

x = -6