Answer:
x = -61
Step-by-step explanation:
[tex]\frac{6}{x+7}=\frac{7}{x-2}[/tex]
First we state that the solution cannot contain: {-7, 2}, because we would end up with a 0 in the denominator.
Then we can cross multiply:
6(x - 2)=7(x+7)
6x - 12 = 7x + 49
7x + 49 = 6x - 12
x + 61 = 0
x = -61
