# How do you solve 3/11x-2=5x-1/2?

Mar 19, 2017

“Simplify” it by performing all of the operations to combine the terms. Then collect all of the constants on one side to calculate the variable/unknown on the other side.

#### Explanation:

 (3/11)*x − 2 = 5*x − (1/2)

 (3/11)*x – 5*x = − (½) + 2 ;  (3/11)*x – (55/11)*x = (3/2)

-(52/11)*x = (3/2) ; x = -(11/52)*(3/2) ; x = -(33/104)

CHECK:
(3/11)*(-(33/104)) − 2 = 5*(-(33/104) − (1/2)

 (-99/1144) – 2 = (-165/104) – (1/2)

 (-99/1144) – (2288/1144) = (-165/104) – (52/104)

$- \left(\frac{2387}{1144}\right) = - \left(\frac{217}{104}\right)$ ; $- \left(\frac{217}{104}\right) = - \left(\frac{217}{104}\right)$ CORRECT!