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0.8\times 45-x=0.2x
Add 15 and 30 to get 45.
36-x=0.2x
Multiply 0.8 and 45 to get 36.
36-x-0.2x=0
Subtract 0.2x from both sides.
36-1.2x=0
Combine -x and -0.2x to get -1.2x.
-1.2x=-36
Subtract 36 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-36}{-1.2}
Divide both sides by -1.2.
x=\frac{-360}{-12}
Expand \frac{-36}{-1.2} by multiplying both numerator and the denominator by 10.
x=30
Divide -360 by -12 to get 30.