Solve 1/x+2/x+3=5

$$\frac { 1 } { x } + \frac { 2 } { x } + 3 = 5$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

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.

$$1+2+x\times 3=5x$$

Add 1 and 2 to get 3.

$$3+x\times 3=5x$$

Subtract 5x from both sides.

$$3+x\times 3-5x=0$$

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

$$3-2x=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-3$$

Divide both sides by -2.

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

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

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