The value of x that satisfies the equation is x = 51/11.
To solve the equation (4x-20)/3x^2 + 1/x = 1/3x, we need to combine similar terms and simplify the equation:
Multiply each term by the lowest common denominator, which is 3x^2:
(4x-20) + 3 = x/3
Combine like terms:
4x - 17 = x/3
Move all terms to one side:
4x - x/3 = 17
Multiply each term by 3 to get rid of the fraction:
12x - x = 51
Combine like terms:
11x = 51
Divide both sides by 11:
x = 51/11
Therefore, the value of x that satisfies the equation is x = 51/11.
The probable question may be:
From the equation (4x-20)/3x^2 + 1/x = 1/3x, find the value of x.