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\left(x+90\right)\times 10=100\times 90
Variable x cannot be equal to -90 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+90\right), the least common multiple of 100,90+x.
10x+900=100\times 90
Use the distributive property to multiply x+90 by 10.
10x+900=9000
Multiply 100 and 90 to get 9000.
10x=9000-900
Subtract 900 from both sides.
10x=8100
Subtract 900 from 9000 to get 8100.
x=\frac{8100}{10}
Divide both sides by 10.
x=810
Divide 8100 by 10 to get 810.