Solve for x: 2x-17/2-(x- x-1/3) =12

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. 

Answer: The value of x for the given equation (2x-17)/(2-(x- x-1/3)) =12 is 45/2

Let's calculate the value of x for the given equation 2x-17/2-(x- x-1/3) =12

Explanation:

(2x-17)/(2-(x- x-1/3)) =12

=> (2x - 17) / (2 - (- 1/3)) = 12

=> (2x - 17) / (2 + 1/3) = 12

=> 3(2x - 17) / 7 = 12         (Since, 2 + 1/3 = 7/3)

=> 6x - 51 = 12 × 7                   

=> 6x = 84 + 51

=> x = 135/6 = 45/2

Thus, the value of x for the given equation (2x-17)/(2-(x- x-1/3)) =12 is 45/2