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100x=5x_{3}+5x_{2}
Swap sides so that all variable terms are on the left hand side.
100x=5x_{2}+5x_{3}
The equation is in standard form.
\frac{100x}{100}=\frac{5x_{2}+5x_{3}}{100}
Divide both sides by 100.
x=\frac{5x_{2}+5x_{3}}{100}
Dividing by 100 undoes the multiplication by 100.
x=\frac{x_{2}+x_{3}}{20}
Divide 5x_{3}+5x_{2} by 100.
5x_{2}=100x-5x_{3}
Subtract 5x_{3} from both sides.
\frac{5x_{2}}{5}=\frac{100x-5x_{3}}{5}
Divide both sides by 5.
x_{2}=\frac{100x-5x_{3}}{5}
Dividing by 5 undoes the multiplication by 5.
x_{2}=20x-x_{3}
Divide 100x-5x_{3} by 5.