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980=x+x_{0}\times 0.6+x_{0}\times 0.36
Multiply 0.6 and 0.6 to get 0.36.
980=x+0.96x_{0}
Combine x_{0}\times 0.6 and x_{0}\times 0.36 to get 0.96x_{0}.
x+0.96x_{0}=980
Swap sides so that all variable terms are on the left hand side.
x=980-0.96x_{0}
Subtract 0.96x_{0} from both sides.
980=x+x_{0}\times 0.6+x_{0}\times 0.36
Multiply 0.6 and 0.6 to get 0.36.
980=x+0.96x_{0}
Combine x_{0}\times 0.6 and x_{0}\times 0.36 to get 0.96x_{0}.
x+0.96x_{0}=980
Swap sides so that all variable terms are on the left hand side.
0.96x_{0}=980-x
Subtract x from both sides.
\frac{0.96x_{0}}{0.96}=\frac{980-x}{0.96}
Divide both sides of the equation by 0.96, which is the same as multiplying both sides by the reciprocal of the fraction.
x_{0}=\frac{980-x}{0.96}
Dividing by 0.96 undoes the multiplication by 0.96.
x_{0}=-\frac{25x}{24}+\frac{6125}{6}
Divide 980-x by 0.96 by multiplying 980-x by the reciprocal of 0.96.