To solve the equation 1/3x + 9 - 2/x + 3 = 2, we first need to combine like terms and simplify the equation:
1/3x + 9 - 2/x + 3 = 2
1/3x - 2/x + 12 = 2
Next, we need to find a common denominator for the fractions in the equation. The common denominator for 3 and x is 3x:
(1*x - 2*3) / (3*x) + 12 = 2
(x - 6) / (3x) + 12 = 2
Now we can combine the fractions into a single fraction:
(x - 6 + 12*3x) / (3x) = 2
(x - 6 + 36x) / (3x) = 2
(37x - 6) / (3x) = 2
37x - 6 = 6x
31x = 6
x = 6/31
Therefore, the solution to the equation 1/3x + 9 - 2/x + 3 = 2 is x = 6/31.
solve. 1/3x+9 - 2/x+3 =2
1 answer
1 answer