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7\sqrt{5}+100+20x=140
Multiply both sides of the equation by 20.
100+20x=140-7\sqrt{5}
Subtract 7\sqrt{5} from both sides.
20x=140-7\sqrt{5}-100
Subtract 100 from both sides.
20x=40-7\sqrt{5}
Subtract 100 from 140 to get 40.
\frac{20x}{20}=\frac{40-7\sqrt{5}}{20}
Divide both sides by 20.
x=\frac{40-7\sqrt{5}}{20}
Dividing by 20 undoes the multiplication by 20.
x=-\frac{7\sqrt{5}}{20}+2
Divide 40-7\sqrt{5} by 20.