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6x+5+9-8x=0
Combine 7x and -x to get 6x.
6x+14-8x=0
Add 5 and 9 to get 14.
-2x+14=0
Combine 6x and -8x to get -2x.
-2x=-14
Subtract 14 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-14}{-2}
Divide both sides by -2.
x=7
Divide -14 by -2 to get 7.