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3x-2=6-8-3x
To find the opposite of 8+3x, find the opposite of each term.
3x-2=-2-3x
Subtract 8 from 6 to get -2.
3x-2+3x=-2
Add 3x to both sides.
6x-2=-2
Combine 3x and 3x to get 6x.
6x=-2+2
Add 2 to both sides.
6x=0
Add -2 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.