Solve for x
x = \frac{100}{9} = 11\frac{1}{9} \approx 11.111111111
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10\left(x+100\right)=100x
Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by x+100.
10x+1000=100x
Use the distributive property to multiply 10 by x+100.
10x+1000-100x=0
Subtract 100x from both sides.
-90x+1000=0
Combine 10x and -100x to get -90x.
-90x=-1000
Subtract 1000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1000}{-90}
Divide both sides by -90.
x=\frac{100}{9}
Reduce the fraction \frac{-1000}{-90} to lowest terms by extracting and canceling out -10.
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