Solve 1/3+1/{x_{2}}=-5/3

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

Solve for x_2

$$x_{2}=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Variable x_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x_{2}, the least common multiple of 3,x_{2}.

$$3x_{2}\times \frac{1}{3}+3=-5x_{2}$$

Cancel out 3 and 3.

$$x_{2}+3=-5x_{2}$$

Add 5x_{2} to both sides.

$$x_{2}+3+5x_{2}=0$$

Combine x_{2} and 5x_{2} to get 6x_{2}.

$$6x_{2}+3=0$$

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

$$6x_{2}=-3$$

Divide both sides by 6.

$$x_{2}=\frac{-3}{6}$$

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

$$x_{2}=-\frac{1}{2}$$