Solve 1-1000/x=0.4

$$1 - \frac { 1000 } { x } = 0.4$$

Solve for x

$$x = \frac{5000}{3} = 1666\frac{2}{3} \approx 1666.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x-1000=0.4x$$

Subtract 0.4x from both sides.

$$x-1000-0.4x=0$$

Combine x and -0.4x to get 0.6x.

$$0.6x-1000=0$$

Add 1000 to both sides. Anything plus zero gives itself.

$$0.6x=1000$$

Divide both sides by 0.6.

$$x=\frac{1000}{0.6}$$

Expand \frac{1000}{0.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{10000}{6}$$

Reduce the fraction \frac{10000}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{5000}{3}$$