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-2=-6-3x
To find the opposite of 6+3x, find the opposite of each term.
-6-3x=-2
Swap sides so that all variable terms are on the left hand side.
-3x=-2+6
Add 6 to both sides.
-3x=4
Add -2 and 6 to get 4.
x=\frac{4}{-3}
Divide both sides by -3.
x=-\frac{4}{3}
Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} by extracting the negative sign.