Solve -2-4/3/0-2=-1/3-8/x+4

$$\frac { - 2 - \frac { 4 } { 3 } } { 0 - 2 } = \frac { - \frac { 1 } { 3 } - 8 } { x + 4 }$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by x+4.

$$\left(-\frac{1}{2}x-2\right)\left(-2-\frac{4}{3}\right)=-\frac{1}{3}-8$$

Subtract \frac{4}{3} from -2 to get -\frac{10}{3}.

$$\left(-\frac{1}{2}x-2\right)\left(-\frac{10}{3}\right)=-\frac{1}{3}-8$$

Use the distributive property to multiply -\frac{1}{2}x-2 by -\frac{10}{3}.

$$\frac{5}{3}x+\frac{20}{3}=-\frac{1}{3}-8$$

Subtract 8 from -\frac{1}{3} to get -\frac{25}{3}.

$$\frac{5}{3}x+\frac{20}{3}=-\frac{25}{3}$$

Subtract \frac{20}{3} from both sides.

$$\frac{5}{3}x=-\frac{25}{3}-\frac{20}{3}$$

Subtract \frac{20}{3} from -\frac{25}{3} to get -15.

$$\frac{5}{3}x=-15$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=-15\times \frac{3}{5}$$

Multiply -15 and \frac{3}{5} to get -9.

$$x=-9$$