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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

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

$$2x\times 3+1=2\times 2$$

Multiply 2 and 3 to get 6.

$$6x+1=2\times 2$$

Multiply 2 and 2 to get 4.

$$6x+1=4$$

Subtract 1 from both sides.

$$6x=4-1$$

Subtract 1 from 4 to get 3.

$$6x=3$$

Divide both sides by 6.

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

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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