Solve 80/3x-80/x=8/3

$$\frac { 80 } { 3 x } - \frac { 80 } { x } = \frac { 8 } { 3 }$$

Solve for x

$$x=-20$$

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 3x, the least common multiple of 3x,x,3.

$$80-3\times 80=8x$$

Multiply -3 and 80 to get -240.

$$80-240=8x$$

Subtract 240 from 80 to get -160.

$$-160=8x$$

Swap sides so that all variable terms are on the left hand side.

$$8x=-160$$

Divide both sides by 8.

$$x=\frac{-160}{8}$$

Divide -160 by 8 to get -20.

$$x=-20$$