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\frac{1}{3}\times 2=x+2
Multiply both sides by 2.
\frac{2}{3}=x+2
Multiply \frac{1}{3} and 2 to get \frac{2}{3}.
x+2=\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{2}{3}-2
Subtract 2 from both sides.
x=\frac{2}{3}-\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
x=\frac{2-6}{3}
Since \frac{2}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{4}{3}
Subtract 6 from 2 to get -4.