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