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

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

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

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 6x, the least common multiple of 2,3,x.

$$6x\times \frac{1}{2}+6x\times \frac{1}{3}=6$$

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

$$\frac{6}{2}x+6x\times \frac{1}{3}=6$$

Divide 6 by 2 to get 3.

$$3x+6x\times \frac{1}{3}=6$$

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

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

Divide 6 by 3 to get 2.

$$3x+2x=6$$

Combine 3x and 2x to get 5x.

$$5x=6$$

Divide both sides by 5.

$$x=\frac{6}{5}$$