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9x=-x+3-\left(x+2\right)+10
Combine 15x and -6x to get 9x.
9x=-x+3-x-2+10
To find the opposite of x+2, find the opposite of each term.
9x=-x+1-x+10
Subtract 2 from 3 to get 1.
9x=-x+11-x
Add 1 and 10 to get 11.
9x+x=11-x
Add x to both sides.
10x=11-x
Combine 9x and x to get 10x.
10x+x=11
Add x to both sides.
11x=11
Combine 10x and x to get 11x.
x=\frac{11}{11}
Divide both sides by 11.
x=1
Divide 11 by 11 to get 1.