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2x-1=\frac{8}{3}
Divide both sides by 3.
2x=\frac{8}{3}+1
Add 1 to both sides.
2x=\frac{8}{3}+\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
2x=\frac{8+3}{3}
Since \frac{8}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
2x=\frac{11}{3}
Add 8 and 3 to get 11.
x=\frac{\frac{11}{3}}{2}
Divide both sides by 2.
x=\frac{11}{3\times 2}
Express \frac{\frac{11}{3}}{2} as a single fraction.
x=\frac{11}{6}
Multiply 3 and 2 to get 6.