Solve 2(1000/x)=7000/x+200

$$2 ( \frac { 1000 } { x } ) = \frac { 7000 } { x + 200 }$$

Solve for x

$$x=80$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -200,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+200\right), the least common multiple of x,x+200.

$$2\left(x+200\right)\times 1000=x\times 7000$$

Multiply 2 and 1000 to get 2000.

$$2000\left(x+200\right)=x\times 7000$$

Use the distributive property to multiply 2000 by x+200.

$$2000x+400000=x\times 7000$$

Subtract x\times 7000 from both sides.

$$2000x+400000-x\times 7000=0$$

Combine 2000x and -x\times 7000 to get -5000x.

$$-5000x+400000=0$$

Subtract 400000 from both sides. Anything subtracted from zero gives its negation.

$$-5000x=-400000$$

Divide both sides by -5000.

$$x=\frac{-400000}{-5000}$$

Divide -400000 by -5000 to get 80.

$$x=80$$