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4=\frac{260000\times 2}{x+x+20000}
Divide 260000 by \frac{x+x+20000}{2} by multiplying 260000 by the reciprocal of \frac{x+x+20000}{2}.
4=\frac{520000}{x+x+20000}
Multiply 260000 and 2 to get 520000.
4=\frac{520000}{2x+20000}
Combine x and x to get 2x.
\frac{520000}{2x+20000}=4
Swap sides so that all variable terms are on the left hand side.
520000=8\left(x+10000\right)
Variable x cannot be equal to -10000 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+10000\right).
\frac{520000}{8}=x+10000
Divide both sides by 8.
65000=x+10000
Divide 520000 by 8 to get 65000.
x+10000=65000
Swap sides so that all variable terms are on the left hand side.
x=65000-10000
Subtract 10000 from both sides.
x=55000
Subtract 10000 from 65000 to get 55000.