Solve 1/x+3+1/2=1/3

$$\frac { 1 } { x + 3 } + \frac { 1 } { 2 } = \frac { 1 } { 3 }$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 6\left(x+3\right), the least common multiple of x+3,2,3.

$$6+6\left(x+3\right)\times \frac{1}{2}=2\left(x+3\right)$$

Multiply 6 and \frac{1}{2} to get 3.

$$6+3\left(x+3\right)=2\left(x+3\right)$$

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

$$6+3x+9=2\left(x+3\right)$$

Add 6 and 9 to get 15.

$$15+3x=2\left(x+3\right)$$

Use the distributive property to multiply 2 by x+3.

$$15+3x=2x+6$$

Subtract 2x from both sides.

$$15+3x-2x=6$$

Combine 3x and -2x to get x.

$$15+x=6$$

Subtract 15 from both sides.

$$x=6-15$$

Subtract 15 from 6 to get -9.

$$x=-9$$