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9x+10\times 9+2=11\times 9+5
Multiply both sides of the equation by 9.
9x+90+2=11\times 9+5
Multiply 10 and 9 to get 90.
9x+92=11\times 9+5
Add 90 and 2 to get 92.
9x+92=99+5
Multiply 11 and 9 to get 99.
9x+92=104
Add 99 and 5 to get 104.
9x=104-92
Subtract 92 from both sides.
9x=12
Subtract 92 from 104 to get 12.
x=\frac{12}{9}
Divide both sides by 9.
x=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.