Solve 12/x+6+3/2=3

$$\frac { 12 } { x + 6 } + \frac { 3 } { 2 } = 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+6\right), the least common multiple of x+6,2.

$$2\times 12+2\left(x+6\right)\times \frac{3}{2}=6\left(x+6\right)$$

Multiply 2 and 12 to get 24.

$$24+2\left(x+6\right)\times \frac{3}{2}=6\left(x+6\right)$$

Multiply 2 and \frac{3}{2} to get 3.

$$24+3\left(x+6\right)=6\left(x+6\right)$$

Use the distributive property to multiply 3 by x+6.

$$24+3x+18=6\left(x+6\right)$$

Add 24 and 18 to get 42.

$$42+3x=6\left(x+6\right)$$

Use the distributive property to multiply 6 by x+6.

$$42+3x=6x+36$$

Subtract 6x from both sides.

$$42+3x-6x=36$$

Combine 3x and -6x to get -3x.

$$42-3x=36$$

Subtract 42 from both sides.

$$-3x=36-42$$

Subtract 42 from 36 to get -6.

$$-3x=-6$$

Divide both sides by -3.

$$x=\frac{-6}{-3}$$

Divide -6 by -3 to get 2.

$$x=2$$