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x=0.65\left(x+20\right)
Variable x cannot be equal to -20 since division by zero is not defined. Multiply both sides of the equation by x+20.
x=0.65x+13
Use the distributive property to multiply 0.65 by x+20.
x-0.65x=13
Subtract 0.65x from both sides.
0.35x=13
Combine x and -0.65x to get 0.35x.
x=\frac{13}{0.35}
Divide both sides by 0.35.
x=\frac{1300}{35}
Expand \frac{13}{0.35} by multiplying both numerator and the denominator by 100.
x=\frac{260}{7}
Reduce the fraction \frac{1300}{35} to lowest terms by extracting and canceling out 5.