Solve 5/v-2-2/v-2=3

$$\frac { 5 } { v - 2 } - \frac { 2 } { v - 2 } = 3$$

Solve for v

$$v=3$$

Steps for Solving Linear Equation

Variable v cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by v-2.

$$5-2=3\left(v-2\right)$$

Subtract 2 from 5 to get 3.

$$3=3\left(v-2\right)$$

Use the distributive property to multiply 3 by v-2.

$$3=3v-6$$

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

$$3v-6=3$$

Add 6 to both sides.

$$3v=3+6$$

Add 3 and 6 to get 9.

$$3v=9$$

Divide both sides by 3.

$$v=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$v=3$$