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5x=1+\frac{4}{3}
Add \frac{4}{3} to both sides.
5x=\frac{3}{3}+\frac{4}{3}
Convert 1 to fraction \frac{3}{3}.
5x=\frac{3+4}{3}
Since \frac{3}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.
5x=\frac{7}{3}
Add 3 and 4 to get 7.
x=\frac{\frac{7}{3}}{5}
Divide both sides by 5.
x=\frac{7}{3\times 5}
Express \frac{\frac{7}{3}}{5} as a single fraction.
x=\frac{7}{15}
Multiply 3 and 5 to get 15.