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18x+9=2\left(1\times 9+1\right)
Multiply both sides of the equation by 18, the least common multiple of 2,9.
18x+9=2\left(9+1\right)
Multiply 1 and 9 to get 9.
18x+9=2\times 10
Add 9 and 1 to get 10.
18x+9=20
Multiply 2 and 10 to get 20.
18x=20-9
Subtract 9 from both sides.
18x=11
Subtract 9 from 20 to get 11.
x=\frac{11}{18}
Divide both sides by 18.