Solve x+(x+30/100x)+(1/3x)+(x-3575/100x)=250000

$$x + ( x + \frac { 30 } { 100 } x ) + ( \frac { 1 } { 3 } x ) + ( x - \frac { 3575 } { 100 } x ) = 250000$$

Solve for x

$$x = -\frac{15000000}{1927} = -7784\frac{232}{1927} \approx -7784.120394395$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

$$2x+\frac{30}{100}x+\frac{1}{3}x+x-\frac{3575}{100}x=250000$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$2x+\frac{3}{10}x+\frac{1}{3}x+x-\frac{3575}{100}x=250000$$

Combine 2x and \frac{3}{10}x to get \frac{23}{10}x.

$$\frac{23}{10}x+\frac{1}{3}x+x-\frac{3575}{100}x=250000$$

Combine \frac{23}{10}x and \frac{1}{3}x to get \frac{79}{30}x.

$$\frac{79}{30}x+x-\frac{3575}{100}x=250000$$

Reduce the fraction \frac{3575}{100} to lowest terms by extracting and canceling out 25.

$$\frac{79}{30}x+x-\frac{143}{4}x=250000$$

Combine x and -\frac{143}{4}x to get -\frac{139}{4}x.

$$\frac{79}{30}x-\frac{139}{4}x=250000$$

Combine \frac{79}{30}x and -\frac{139}{4}x to get -\frac{1927}{60}x.

$$-\frac{1927}{60}x=250000$$

Multiply both sides by -\frac{60}{1927}, the reciprocal of -\frac{1927}{60}.

$$x=250000\left(-\frac{60}{1927}\right)$$

Express 250000\left(-\frac{60}{1927}\right) as a single fraction.

$$x=\frac{250000\left(-60\right)}{1927}$$

Multiply 250000 and -60 to get -15000000.

$$x=\frac{-15000000}{1927}$$

Fraction \frac{-15000000}{1927} can be rewritten as -\frac{15000000}{1927} by extracting the negative sign.

$$x=-\frac{15000000}{1927}$$