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6-2x-\left(x+2\right)=18
Multiply both sides of the equation by 6, the least common multiple of 3,6.
6-2x-x-2=18
To find the opposite of x+2, find the opposite of each term.
6-3x-2=18
Combine -2x and -x to get -3x.
4-3x=18
Subtract 2 from 6 to get 4.
-3x=18-4
Subtract 4 from both sides.
-3x=14
Subtract 4 from 18 to get 14.
x=\frac{14}{-3}
Divide both sides by -3.
x=-\frac{14}{3}
Fraction \frac{14}{-3} can be rewritten as -\frac{14}{3} by extracting the negative sign.