Solve 1000/x+2=2800/2x

$$\frac { 1000 } { x } + 2 = \frac { 2800 } { 2 x }$$

Solve for x

$$x=200$$

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 x,2x.

$$2\times 1000+2x\times 2=2800$$

Multiply 2 and 1000 to get 2000.

$$2000+2x\times 2=2800$$

Multiply 2 and 2 to get 4.

$$2000+4x=2800$$

Subtract 2000 from both sides.

$$4x=2800-2000$$

Subtract 2000 from 2800 to get 800.

$$4x=800$$

Divide both sides by 4.

$$x=\frac{800}{4}$$

Divide 800 by 4 to get 200.

$$x=200$$