Solve 3200/x=6000/x+2

$$\frac { 3200 } { x } = \frac { 6000 } { x + 2 }$$

Solve for x

$$x = \frac{16}{7} = 2\frac{2}{7} \approx 2.285714286$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -2,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+2\right), the least common multiple of x,x+2.

$$\left(x+2\right)\times 3200=x\times 6000$$

Use the distributive property to multiply x+2 by 3200.

$$3200x+6400=x\times 6000$$

Subtract x\times 6000 from both sides.

$$3200x+6400-x\times 6000=0$$

Combine 3200x and -x\times 6000 to get -2800x.

$$-2800x+6400=0$$

Subtract 6400 from both sides. Anything subtracted from zero gives its negation.

$$-2800x=-6400$$

Divide both sides by -2800.

$$x=\frac{-6400}{-2800}$$

Reduce the fraction \frac{-6400}{-2800} to lowest terms by extracting and canceling out -400.

$$x=\frac{16}{7}$$