Solve x-(35%x-662.5)-(7%x)=10000

$$x - ( 35 \% x - 662.5 ) - ( 7 \% x ) = 10000$$

Solve for x

$$x = \frac{466875}{29} = 16099\frac{4}{29} \approx 16099.137931034$$

Steps for Solving Linear Equation

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$x-\left(\frac{7}{20}x-662.5\right)-\frac{7}{100}x=10000$$

To find the opposite of \frac{7}{20}x-662.5, find the opposite of each term.

$$x-\frac{7}{20}x-\left(-662.5\right)-\frac{7}{100}x=10000$$

The opposite of -662.5 is 662.5.

$$x-\frac{7}{20}x+662.5-\frac{7}{100}x=10000$$

Combine x and -\frac{7}{20}x to get \frac{13}{20}x.

$$\frac{13}{20}x+662.5-\frac{7}{100}x=10000$$

Combine \frac{13}{20}x and -\frac{7}{100}x to get \frac{29}{50}x.

$$\frac{29}{50}x+662.5=10000$$

Subtract 662.5 from both sides.

$$\frac{29}{50}x=10000-662.5$$

Subtract 662.5 from 10000 to get 9337.5.

$$\frac{29}{50}x=9337.5$$

Multiply both sides by \frac{50}{29}, the reciprocal of \frac{29}{50}.

$$x=9337.5\times \frac{50}{29}$$

Convert decimal number 9337.5 to fraction \frac{93375}{10}. Reduce the fraction \frac{93375}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{18675}{2}\times \frac{50}{29}$$

Multiply \frac{18675}{2} times \frac{50}{29} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{18675\times 50}{2\times 29}$$

Do the multiplications in the fraction \frac{18675\times 50}{2\times 29}.

$$x=\frac{933750}{58}$$

Reduce the fraction \frac{933750}{58} to lowest terms by extracting and canceling out 2.

$$x=\frac{466875}{29}$$