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0.1x+6-0.12x=0
Subtract 0.12x from both sides.
-0.02x+6=0
Combine 0.1x and -0.12x to get -0.02x.
-0.02x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{-0.02}
Divide both sides by -0.02.
x=\frac{-600}{-2}
Expand \frac{-6}{-0.02} by multiplying both numerator and the denominator by 100.
x=300
Divide -600 by -2 to get 300.