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90\left(1+x\right)=2000
Multiply 10 and 9 to get 90.
90+90x=2000
Use the distributive property to multiply 90 by 1+x.
90x=2000-90
Subtract 90 from both sides.
90x=1910
Subtract 90 from 2000 to get 1910.
x=\frac{1910}{90}
Divide both sides by 90.
x=\frac{191}{9}
Reduce the fraction \frac{1910}{90} to lowest terms by extracting and canceling out 10.