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

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

Solve for x

$$x=6$$

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 3,x,2.

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

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

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

Divide 6 by 3 to get 2.

$$2x+6=3x$$

Subtract 3x from both sides.

$$2x+6-3x=0$$

Combine 2x and -3x to get -x.

$$-x+6=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-x=-6$$

Multiply both sides by -1.

$$x=6$$