Solve 22/5divx=2/5

$$2 \frac { 2 } { 5 } \div x = \frac { 2 } { 5 }$$

Solve for x

$$x=6$$

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 5x, the least common multiple of x,5.

$$5\times \frac{2\times 5+2}{5}=2x$$

Multiply 2 and 5 to get 10.

$$5\times \frac{10+2}{5}=2x$$

Add 10 and 2 to get 12.

$$5\times \frac{12}{5}=2x$$

Cancel out 5 and 5.

$$12=2x$$

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

$$2x=12$$

Divide both sides by 2.

$$x=\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$x=6$$