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x+2=\frac{5}{3}
Divide both sides by 3.
x=\frac{5}{3}-2
Subtract 2 from both sides.
x=\frac{5}{3}-\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
x=\frac{5-6}{3}
Since \frac{5}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{1}{3}
Subtract 6 from 5 to get -1.