Solve 6v-9/2=2-4v-5/6

$$\frac { 6 v - 9 } { 2 } = 2 - \frac { 4 v - 5 } { 6 }$$

Solve for v

$$v=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\left(6v-9\right)=12-\left(4v-5\right)$$

Use the distributive property to multiply 3 by 6v-9.

$$18v-27=12-\left(4v-5\right)$$

To find the opposite of 4v-5, find the opposite of each term.

$$18v-27=12-4v-\left(-5\right)$$

The opposite of -5 is 5.

$$18v-27=12-4v+5$$

Add 12 and 5 to get 17.

$$18v-27=17-4v$$

Add 4v to both sides.

$$18v-27+4v=17$$

Combine 18v and 4v to get 22v.

$$22v-27=17$$

Add 27 to both sides.

$$22v=17+27$$

Add 17 and 27 to get 44.

$$22v=44$$

Divide both sides by 22.

$$v=\frac{44}{22}$$

Divide 44 by 22 to get 2.

$$v=2$$