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11-10-\left(-6x\right)-\left(16x-9\right)=0
To find the opposite of 10-6x, find the opposite of each term.
11-10+6x-\left(16x-9\right)=0
The opposite of -6x is 6x.
1+6x-\left(16x-9\right)=0
Subtract 10 from 11 to get 1.
1+6x-16x-\left(-9\right)=0
To find the opposite of 16x-9, find the opposite of each term.
1+6x-16x+9=0
The opposite of -9 is 9.
1-10x+9=0
Combine 6x and -16x to get -10x.
10-10x=0
Add 1 and 9 to get 10.
-10x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-10}{-10}
Divide both sides by -10.
x=1
Divide -10 by -10 to get 1.