Solve 50/x-50/3x=31/3

$$\frac { 50 } { x } - \frac { 50 } { 3 x } = 3 \frac { 1 } { 3 }$$

Solve for x

$$x=10$$

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 x,3x,3.

$$3\times 50-50=x\left(3\times 3+1\right)$$

Multiply 3 and 50 to get 150.

$$150-50=x\left(3\times 3+1\right)$$

Subtract 50 from 150 to get 100.

$$100=x\left(3\times 3+1\right)$$

Multiply 3 and 3 to get 9.

$$100=x\left(9+1\right)$$

Add 9 and 1 to get 10.

$$100=x\times 10$$

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

$$x\times 10=100$$

Divide both sides by 10.

$$x=\frac{100}{10}$$

Divide 100 by 10 to get 10.

$$x=10$$