1 /3x+9 - 2/x+3=2

Question

A. x=1
B. x=-23/6
C. x=-5/2
D . x= -5

Answer 1

To solve this equation, we need to find a common denominator for the fractions on the left side. The common denominator is (x+3)(3):

(3(x + 3))/(3(x + 3)) - 2(x + 3)/(x + 3)(3) = 2

Multiplying through, we get:

3(x + 3) - 2(x + 3)/(3(x + 3)) = 2

Expanding the terms gives:

3x + 9 - 2x - 6 = 2

Combining like terms:

x + 3 = 2

Subtracting 3 from both sides:

x = -1

Therefore, the solution is not one of the answer choices given.