Solve (x+1/x)=(x+2)

$$( x + \frac { 1 } { x } ) = ( x + 2 )$$

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 x.

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

Multiply x and x to get x^{2}.

$$x^{2}+1=xx+x\times 2$$

Multiply x and x to get x^{2}.

$$x^{2}+1=x^{2}+x\times 2$$

Subtract x^{2} from both sides.

$$x^{2}+1-x^{2}=x\times 2$$

Combine x^{2} and -x^{2} to get 0.

$$1=x\times 2$$

Swap sides so that all variable terms are on the left hand side.

$$x\times 2=1$$

Divide both sides by 2.

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