Solve 3/x+9/2=12/x

$$\frac { 3 } { x } + \frac { 9 } { 2 } = \frac { 12 } { x }$$

Solve for x

$$x=2$$

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 2x, the least common multiple of x,2.

$$2\times 3+2x\times \frac{9}{2}=2\times 12$$

Multiply 2 and 3 to get 6.

$$6+2x\times \frac{9}{2}=2\times 12$$

Cancel out 2 and 2.

$$6+9x=2\times 12$$

Multiply 2 and 12 to get 24.

$$6+9x=24$$

Subtract 6 from both sides.

$$9x=24-6$$

Subtract 6 from 24 to get 18.

$$9x=18$$

Divide both sides by 9.

$$x=\frac{18}{9}$$

Divide 18 by 9 to get 2.

$$x=2$$