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

1 answer

To solve for x in the equation 1/3x + 9 - 2/x + 3 = 2, we first need to combine like terms on the left side of the equation.

1/3x - 2/x + 9 + 3 = 2
(1/3)x - (2/x) + 12 = 2

Next, we need to find a common denominator for the fractions:

x/3 - 2(3)/3x + 12 = 2
x/3 - 6/3x + 12 = 2
x/3 - 6/3x + 12 = 2

Combine the terms with x:

(x - 6 + 36x)/3 = 2

Simplify:

37x - 6 = 6

Add 6 to both sides:

37x = 12

Divide by 37:

x = 12/37

Therefore, the solution to the equation is x = 12/37.