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6x-2x-\left(-14\right)=42
To find the opposite of 2x-14, find the opposite of each term.
6x-2x+14=42
The opposite of -14 is 14.
4x+14=42
Combine 6x and -2x to get 4x.
4x=42-14
Subtract 14 from both sides.
4x=28
Subtract 14 from 42 to get 28.
x=\frac{28}{4}
Divide both sides by 4.
x=7
Divide 28 by 4 to get 7.