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4x+4=9-\left(x-6\right)
Combine 5x and -x to get 4x.
4x+4=9-x-\left(-6\right)
To find the opposite of x-6, find the opposite of each term.
4x+4=9-x+6
The opposite of -6 is 6.
4x+4=15-x
Add 9 and 6 to get 15.
4x+4+x=15
Add x to both sides.
5x+4=15
Combine 4x and x to get 5x.
5x=15-4
Subtract 4 from both sides.
5x=11
Subtract 4 from 15 to get 11.
x=\frac{11}{5}
Divide both sides by 5.