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x-9+3x=7-\left(x+2\right)
Use the distributive property to multiply -3 by 3-x.
4x-9=7-\left(x+2\right)
Combine x and 3x to get 4x.
4x-9=7-x-2
To find the opposite of x+2, find the opposite of each term.
4x-9=5-x
Subtract 2 from 7 to get 5.
4x-9+x=5
Add x to both sides.
5x-9=5
Combine 4x and x to get 5x.
5x=5+9
Add 9 to both sides.
5x=14
Add 5 and 9 to get 14.
x=\frac{14}{5}
Divide both sides by 5.