Answer:
The value for x is 10/179 or 0.0559 (Rounding to three decimal places)
Explanation:
1. Let's solve for x, the following equation:
1/5x - 1/6 (x-2) = 6x
1/5x - 1/6x + 2/6 = 6x
6x - 5x + 10 = 180x (30 as the Lowest Common Denominator)
x - 180x = - 10
-179x = -10
x = 10/179
x = 10/179 or 0.0559 (Rounding to three decimal places)