Answer
The solution of this equation is x = 800.
Work Step by Step
0.07x +0.09(2000 - x) = 164
Use the distributive property to obtain:
0.07x + 180 - 0.09x = 164
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:
0.07x - 0.09x = 164 - 180
-0.02x = -16
Divide both sides by -0.02:
x = 800
The solution of this equation is x = 800.