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0.5x+0.2-0.1x=0.4
Use the distributive property to multiply 0.1 by 2-x.
0.4x+0.2=0.4
Combine 0.5x and -0.1x to get 0.4x.
0.4x=0.4-0.2
Subtract 0.2 from both sides.
0.4x=0.2
Subtract 0.2 from 0.4 to get 0.2.
x=\frac{0.2}{0.4}
Divide both sides by 0.4.
x=\frac{2}{4}
Expand \frac{0.2}{0.4} by multiplying both numerator and the denominator by 10.
x=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.