Solve 0.002=xdiv(11750+x)

$$0.002=x \div (11750+x)$$

Solve for x

$$x = \frac{11750}{499} = 23\frac{273}{499} \approx 23.547094188$$

Steps for Solving Linear Equation

Variable x cannot be equal to -11750 since division by zero is not defined. Multiply both sides of the equation by x+11750.

$$0.002\left(x+11750\right)=x$$

Use the distributive property to multiply 0.002 by x+11750.

$$0.002x+23.5=x$$

Subtract x from both sides.

$$0.002x+23.5-x=0$$

Combine 0.002x and -x to get -0.998x.

$$-0.998x+23.5=0$$

Subtract 23.5 from both sides. Anything subtracted from zero gives its negation.

$$-0.998x=-23.5$$

Divide both sides by -0.998.

$$x=\frac{-23.5}{-0.998}$$

Expand \frac{-23.5}{-0.998} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-23500}{-998}$$

Reduce the fraction \frac{-23500}{-998} to lowest terms by extracting and canceling out -2.

$$x=\frac{11750}{499}$$