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0.6x+40-0.4x=50
Use the distributive property to multiply 0.4 by 100-x.
0.2x+40=50
Combine 0.6x and -0.4x to get 0.2x.
0.2x=50-40
Subtract 40 from both sides.
0.2x=10
Subtract 40 from 50 to get 10.
x=\frac{10}{0.2}
Divide both sides by 0.2.
x=\frac{100}{2}
Expand \frac{10}{0.2} by multiplying both numerator and the denominator by 10.
x=50
Divide 100 by 2 to get 50.