Solve 1000/x1.2=1600/x+3

$$\frac{ 1000 }{ x } 1.2 = \frac{ 1600 }{ x+3 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -3,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+3\right), the least common multiple of x,x+3.

$$\left(x+3\right)\times 1000\times 1.2=x\times 1600$$

Multiply 1000 and 1.2 to get 1200.

$$\left(x+3\right)\times 1200=x\times 1600$$

Use the distributive property to multiply x+3 by 1200.

$$1200x+3600=x\times 1600$$

Subtract x\times 1600 from both sides.

$$1200x+3600-x\times 1600=0$$

Combine 1200x and -x\times 1600 to get -400x.

$$-400x+3600=0$$

Subtract 3600 from both sides. Anything subtracted from zero gives its negation.

$$-400x=-3600$$

Divide both sides by -400.

$$x=\frac{-3600}{-400}$$

Divide -3600 by -400 to get 9.

$$x=9$$