Solve 4v/v-5-2/v-5=6

$$\frac { 4 v } { v - 5 } - \frac { 2 } { v - 5 } = 6$$

Solve for v

$$v=14$$

Steps for Solving Linear Equation

Variable v cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by v-5.

$$4v-2=6\left(v-5\right)$$

Use the distributive property to multiply 6 by v-5.

$$4v-2=6v-30$$

Subtract 6v from both sides.

$$4v-2-6v=-30$$

Combine 4v and -6v to get -2v.

$$-2v-2=-30$$

Add 2 to both sides.

$$-2v=-30+2$$

Add -30 and 2 to get -28.

$$-2v=-28$$

Divide both sides by -2.

$$v=\frac{-28}{-2}$$

Divide -28 by -2 to get 14.

$$v=14$$