Solve 4/x-1/6=2/x

$$\frac { 4 } { x } - \frac { 1 } { 6 } = \frac { 2 } { x }$$

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

$$6\times 4+6x\left(-\frac{1}{6}\right)=6\times 2$$

Multiply 6 and 4 to get 24.

$$24+6x\left(-\frac{1}{6}\right)=6\times 2$$

Cancel out 6 and 6.

$$24-x=6\times 2$$

Multiply 6 and 2 to get 12.

$$24-x=12$$

Subtract 24 from both sides.

$$-x=12-24$$

Subtract 24 from 12 to get -12.

$$-x=-12$$

Multiply both sides by -1.

$$x=12$$