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

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

Solve for x_2

$$x_{2}=-\frac{3}{4}=-0.75$$

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},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 4x_{2}.

$$4x_{2}+3=0$$

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

$$4x_{2}=-3$$

Divide both sides by 4.

$$x_{2}=\frac{-3}{4}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$x_{2}=-\frac{3}{4}$$