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x+6=\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{2}{3}-6
Subtract 6 from both sides.
x=\frac{2}{3}-\frac{18}{3}
Convert 6 to fraction \frac{18}{3}.
x=\frac{2-18}{3}
Since \frac{2}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{16}{3}
Subtract 18 from 2 to get -16.