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4=\frac{2\times 2}{3}+x
Express \frac{2}{3}\times 2 as a single fraction.
4=\frac{4}{3}+x
Multiply 2 and 2 to get 4.
\frac{4}{3}+x=4
Swap sides so that all variable terms are on the left hand side.
x=4-\frac{4}{3}
Subtract \frac{4}{3} from both sides.
x=\frac{12}{3}-\frac{4}{3}
Convert 4 to fraction \frac{12}{3}.
x=\frac{12-4}{3}
Since \frac{12}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.
x=\frac{8}{3}
Subtract 4 from 12 to get 8.