Solve 2000/2x-1400/x=20

$$\frac{ 2000 }{ 2x } - \frac{ 1400 }{ x } = 20$$

Solve for x

$$x=-20$$

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 2x, the least common multiple of 2x,x.

$$2000-2\times 1400=40x$$

Multiply -2 and 1400 to get -2800.

$$2000-2800=40x$$

Subtract 2800 from 2000 to get -800.

$$-800=40x$$

Swap sides so that all variable terms are on the left hand side.

$$40x=-800$$

Divide both sides by 40.

$$x=\frac{-800}{40}$$

Divide -800 by 40 to get -20.

$$x=-20$$