To solve this equation, we first need to find a common denominator:

264/(x-10) - 264/x = 0.2

Multiply the first fraction by x/x and the second fraction by (x-10)/(x-10):

264x/(x(x-10)) - 264(x-10)/(x(x-10)) = 0.2

Now combine the fractions:

(264x - 264(x-10))/(x(x-10)) = 0.2

Now simplify the numerator:

(264x - 264x + 2640)/(x(x-10)) = 0.2

2640/(x(x-10)) = 0.2

Now multiply both sides by x(x-10) to get rid of the denominator:

2640 = 0.2x(x-10)

2640 = 0.2(x^2-10x)

2640 = 0.2x^2 - 2x

Rearrange the equation to set it equal to zero:

0.2x^2 - 2x - 2640 = 0

Now we have a quadratic equation that we can solve using the quadratic formula:

x = (-(-2) ± sqrt((-2)^2 - 40.2(-2640))) / 2*0.2

x = (2 ± sqrt(4 + 2112)) / 0.4

x = (2 ± sqrt(2116)) / 0.4

x = (2 ± 46) / 0.4

x = (2 + 46) / 0.4 or x = (2 - 46) / 0.4

x = 48 / 0.4 or x = -44 / 0.4

x = 120 or x = -110

Therefore, the solutions to the equation are x = 120 and x = -110.