Question

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

Answer 1

“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)`

`-(2387/1144) = -(217/104)` ; `-( 217/104) = -(217/104)` CORRECT!