Solve x+1/x=5/2

$$\frac { x + 1 } { x } = \frac { 5 } { 2 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

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 x,2.

$$2\left(x+1\right)=5x$$

Use the distributive property to multiply 2 by x+1.

$$2x+2=5x$$

Subtract 5x from both sides.

$$2x+2-5x=0$$

Combine 2x and -5x to get -3x.

$$-3x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-2$$

Divide both sides by -3.

$$x=\frac{-2}{-3}$$

Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.

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