Solve 1/12+1/x=1/6

$$\frac { 1 } { 12 } + \frac { 1 } { x } = \frac { 1 } { 6 }$$

Solve for x

$$x=12$$

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 12x, the least common multiple of 12,x,6.

$$12x\times \frac{1}{12}+12=2x$$

Cancel out 12 and 12.

$$x+12=2x$$

Subtract 2x from both sides.

$$x+12-2x=0$$

Combine x and -2x to get -x.

$$-x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-x=-12$$

Multiply both sides by -1.

$$x=12$$