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0.6x+500-0.8x=-1000
Subtract 0.8x from both sides.
-0.2x+500=-1000
Combine 0.6x and -0.8x to get -0.2x.
-0.2x=-1000-500
Subtract 500 from both sides.
-0.2x=-1500
Subtract 500 from -1000 to get -1500.
x=\frac{-1500}{-0.2}
Divide both sides by -0.2.
x=\frac{-15000}{-2}
Expand \frac{-1500}{-0.2} by multiplying both numerator and the denominator by 10.
x=7500
Divide -15000 by -2 to get 7500.