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-\left(-3x\right)-3=6-\left(8x+12\right)
To find the opposite of -3x+3, find the opposite of each term.
3x-3=6-\left(8x+12\right)
The opposite of -3x is 3x.
3x-3=6-8x-12
To find the opposite of 8x+12, find the opposite of each term.
3x-3=-6-8x
Subtract 12 from 6 to get -6.
3x-3+8x=-6
Add 8x to both sides.
11x-3=-6
Combine 3x and 8x to get 11x.
11x=-6+3
Add 3 to both sides.
11x=-3
Add -6 and 3 to get -3.
x=\frac{-3}{11}
Divide both sides by 11.
x=-\frac{3}{11}
Fraction \frac{-3}{11} can be rewritten as -\frac{3}{11} by extracting the negative sign.