Solve 300/xdiv225/x-5=1.2

$$\frac { 300 } { x } \div \frac { 225 } { x - 5 } = 1.2$$

Solve for x

$$x=50$$

Steps for Solving Linear Equation

Variable x cannot be equal to 5 since division by zero is not defined. Divide \frac{300}{x} by \frac{225}{x-5} by multiplying \frac{300}{x} by the reciprocal of \frac{225}{x-5}.

$$\frac{300\left(x-5\right)}{x\times 225}=1.2$$

Cancel out 75 in both numerator and denominator.

$$\frac{4\left(x-5\right)}{3x}=1.2$$

Use the distributive property to multiply 4 by x-5.

$$\frac{4x-20}{3x}=1.2$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x.

$$4x-20=3.6x$$

Subtract 3.6x from both sides.

$$4x-20-3.6x=0$$

Combine 4x and -3.6x to get 0.4x.

$$0.4x-20=0$$

Add 20 to both sides. Anything plus zero gives itself.

$$0.4x=20$$

Divide both sides by 0.4.

$$x=\frac{20}{0.4}$$

Expand \frac{20}{0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{200}{4}$$

Divide 200 by 4 to get 50.

$$x=50$$