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13x=1300x_{8}
The equation is in standard form.
\frac{13x}{13}=\frac{1300x_{8}}{13}
Divide both sides by 13.
x=\frac{1300x_{8}}{13}
Dividing by 13 undoes the multiplication by 13.
x=100x_{8}
Divide 1300x_{8} by 13.
1300x_{8}=13x
Swap sides so that all variable terms are on the left hand side.
\frac{1300x_{8}}{1300}=\frac{13x}{1300}
Divide both sides by 1300.
x_{8}=\frac{13x}{1300}
Dividing by 1300 undoes the multiplication by 1300.
x_{8}=\frac{x}{100}
Divide 13x by 1300.