Solve -3/frac{1{x}}-1/frac{3{x}}=8

$$\frac { - 3 } { \frac { 1 } { x } } - \frac { 1 } { \frac { 3 } { x } } = 8$$

Solve for x

$$x = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Divide -3 by \frac{1}{x} by multiplying -3 by the reciprocal of \frac{1}{x}.

$$-3x-\frac{1}{\frac{3}{x}}=8$$

Variable x cannot be equal to 0 since division by zero is not defined. Divide 1 by \frac{3}{x} by multiplying 1 by the reciprocal of \frac{3}{x}.

$$-3x-\frac{x}{3}=8$$

Combine -3x and -\frac{x}{3} to get -\frac{10}{3}x.

$$-\frac{10}{3}x=8$$

Multiply both sides by -\frac{3}{10}, the reciprocal of -\frac{10}{3}.

$$x=8\left(-\frac{3}{10}\right)$$

Multiply 8 and -\frac{3}{10} to get -\frac{12}{5}.

$$x=-\frac{12}{5}$$