Solve 65/400x+x=82564.909

$$\frac{ 65 }{ 400 } x+x=82564.909$$

Solve for x

$$x = \frac{165129818}{2325} = 71023\frac{1343}{2325} \approx 71023.577634409$$

Steps for Solving Linear Equation

Reduce the fraction \frac{65}{400} to lowest terms by extracting and canceling out 5.

$$\frac{13}{80}x+x=82564.909$$

Combine \frac{13}{80}x and x to get \frac{93}{80}x.

$$\frac{93}{80}x=82564.909$$

Multiply both sides by \frac{80}{93}, the reciprocal of \frac{93}{80}.

$$x=82564.909\times \frac{80}{93}$$

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

$$x=\frac{82564909}{1000}\times \frac{80}{93}$$

Multiply \frac{82564909}{1000} times \frac{80}{93} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{82564909\times 80}{1000\times 93}$$

Do the multiplications in the fraction \frac{82564909\times 80}{1000\times 93}.

$$x=\frac{6605192720}{93000}$$

Reduce the fraction \frac{6605192720}{93000} to lowest terms by extracting and canceling out 40.

$$x=\frac{165129818}{2325}$$