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8x-4000+5000=8.4x
Use the distributive property to multiply x-500 by 8.
8x+1000=8.4x
Add -4000 and 5000 to get 1000.
8x+1000-8.4x=0
Subtract 8.4x from both sides.
-0.4x+1000=0
Combine 8x and -8.4x to get -0.4x.
-0.4x=-1000
Subtract 1000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1000}{-0.4}
Divide both sides by -0.4.
x=\frac{-10000}{-4}
Expand \frac{-1000}{-0.4} by multiplying both numerator and the denominator by 10.
x=2500
Divide -10000 by -4 to get 2500.