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10=0.11\left(x+10\right)
Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by x+10.
10=0.11x+1.1
Use the distributive property to multiply 0.11 by x+10.
0.11x+1.1=10
Swap sides so that all variable terms are on the left hand side.
0.11x=10-1.1
Subtract 1.1 from both sides.
0.11x=8.9
Subtract 1.1 from 10 to get 8.9.
x=\frac{8.9}{0.11}
Divide both sides by 0.11.
x=\frac{890}{11}
Expand \frac{8.9}{0.11} by multiplying both numerator and the denominator by 100.