Solve (17.25/100*x)+x=82564.909

$$( \frac{ 17.25 }{ 100 } \times x)+x=82564.909$$

Solve for x

$$x = \frac{23589974}{335} = 70417\frac{279}{335} \approx 70417.832835821$$

Steps for Solving Linear Equation

Expand \frac{17.25}{100} by multiplying both numerator and the denominator by 100.

$$\frac{1725}{10000}x+x=82564.909$$

Reduce the fraction \frac{1725}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{69}{400}x+x=82564.909$$

Combine \frac{69}{400}x and x to get \frac{469}{400}x.

$$\frac{469}{400}x=82564.909$$

Multiply both sides by \frac{400}{469}, the reciprocal of \frac{469}{400}.

$$x=82564.909\times \frac{400}{469}$$

Convert decimal number 82564.909 to fraction \frac{82564909}{1000}.

$$x=\frac{82564909}{1000}\times \frac{400}{469}$$

Multiply \frac{82564909}{1000} times \frac{400}{469} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{82564909\times 400}{1000\times 469}$$

Do the multiplications in the fraction \frac{82564909\times 400}{1000\times 469}.

$$x=\frac{33025963600}{469000}$$

Reduce the fraction \frac{33025963600}{469000} to lowest terms by extracting and canceling out 1400.

$$x=\frac{23589974}{335}$$