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4-\left(-6x\right)+8=0
Multiply 3 and -2 to get -6.
4+6x+8=0
The opposite of -6x is 6x.
12+6x=0
Add 4 and 8 to get 12.
6x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-12}{6}
Divide both sides by 6.
x=-2
Divide -12 by 6 to get -2.