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x-1=\frac{1}{3}\times 5
Multiply both sides by 5.
x-1=\frac{5}{3}
Multiply \frac{1}{3} and 5 to get \frac{5}{3}.
x=\frac{5}{3}+1
Add 1 to both sides.
x=\frac{5}{3}+\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
x=\frac{5+3}{3}
Since \frac{5}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
x=\frac{8}{3}
Add 5 and 3 to get 8.