#### Answer

The solution of this equation is x = 1000.

#### Work Step by Step

0.08x = 580 - 0.1(6000 - x)
Use the distributive property to obtain:
0.08x = 580 - 600 + 0.1x
In order to solve for x, we first need to get all of the terms with an x in them on the same side of the equation.
Thus, we obtain:
0.08x - 0.1x = 580 - 600
-0.02x = - 20
Divide both sides by -0.02
x = 1000
The solution of this equation is x = 1000.