How do you solve (-22+3x)/(3x+7)=2#?

1 Answer
Nov 28, 2016

x = -12

Explanation:

First, multiply each side of the equation by (3x + 7) to eliminate the fraction:

((3x + 7)*(-22 + 3x))/(3x + 7) = 2(3x + 7)

(cancel(3x + 7)*(-22 + 3x))/cancel(3x + 7) = 6x + 14

-22 + 3x = 6x + 14

You can now complete this problem using the necessary mathematics to isolate and solve for x:

-22 + 3x - 3x - 14 = 6x + 14 - 3x - 14

-22 - 14 = 6x - 3x

-36 = 3x

(-36)/3 = (3x)/3

-12 = x