Solve 2*800/x=640/x-120

$$2 \times \frac{ 800 }{ x } = \frac{ 640 }{ x-120 }$$

Solve for x

$$x=200$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,120 since division by zero is not defined. Multiply both sides of the equation by x\left(x-120\right), the least common multiple of x,x-120.

$$2\left(x-120\right)\times 800=x\times 640$$

Multiply 2 and 800 to get 1600.

$$1600\left(x-120\right)=x\times 640$$

Use the distributive property to multiply 1600 by x-120.

$$1600x-192000=x\times 640$$

Subtract x\times 640 from both sides.

$$1600x-192000-x\times 640=0$$

Combine 1600x and -x\times 640 to get 960x.

$$960x-192000=0$$

Add 192000 to both sides. Anything plus zero gives itself.

$$960x=192000$$

Divide both sides by 960.

$$x=\frac{192000}{960}$$

Divide 192000 by 960 to get 200.

$$x=200$$