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0=14+2x-3x-6-8x
To find the opposite of 3x+6, find the opposite of each term.
0=14-x-6-8x
Combine 2x and -3x to get -x.
0=8-x-8x
Subtract 6 from 14 to get 8.
0=8-9x
Combine -x and -8x to get -9x.
8-9x=0
Swap sides so that all variable terms are on the left hand side.
-9x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-8}{-9}
Divide both sides by -9.
x=\frac{8}{9}
Fraction \frac{-8}{-9} can be simplified to \frac{8}{9} by removing the negative sign from both the numerator and the denominator.