Solve 360/x-3/2=360/15x

$$\frac{ 360 }{ x } - \frac{ 3 }{ 2 } = \frac{ 360 }{ 15x }$$

Solve for x

$$x=224$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of x,2,15x.

$$30\times 360+30x\left(-\frac{3}{2}\right)=2\times 360$$

Multiply 30 and 360 to get 10800.

$$10800+30x\left(-\frac{3}{2}\right)=2\times 360$$

Multiply 30 and -\frac{3}{2} to get -45.

$$10800-45x=2\times 360$$

Multiply 2 and 360 to get 720.

$$10800-45x=720$$

Subtract 10800 from both sides.

$$-45x=720-10800$$

Subtract 10800 from 720 to get -10080.

$$-45x=-10080$$

Divide both sides by -45.

$$x=\frac{-10080}{-45}$$

Divide -10080 by -45 to get 224.

$$x=224$$