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6.5x+100-5x=90
Use the distributive property to multiply 5 by 20-x.
1.5x+100=90
Combine 6.5x and -5x to get 1.5x.
1.5x=90-100
Subtract 100 from both sides.
1.5x=-10
Subtract 100 from 90 to get -10.
x=\frac{-10}{1.5}
Divide both sides by 1.5.
x=\frac{-100}{15}
Expand \frac{-10}{1.5} by multiplying both numerator and the denominator by 10.
x=-\frac{20}{3}
Reduce the fraction \frac{-100}{15} to lowest terms by extracting and canceling out 5.