Solve for v 8v+14=5v+6v-10

$8 v + 14 = 5 v + 6 v - 10$

Step 1

Since $v$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$5 v + 6 v - 10 = 8 v + 14$

Step 2

Add $5 v$ and $6 v$ .

$11 v - 10 = 8 v + 14$

Step 3

Move all terms containing $v$ to the left side of the equation.

Subtract $8 v$ from both sides of the equation.

$11 v - 10 - 8 v = 14$

Subtract $8 v$ from $11 v$ .

$3 v - 10 = 14$

Step 4

Move all terms not containing $v$ to the right side of the equation.

Add $10$ to both sides of the equation.

$3 v = 14 + 10$

Add $14$ and $10$ .

$3 v = 24$

Step 5

Divide each term in $3 v = 24$ by $3$ and simplify.

Divide each term in $3 v = 24$ by $3$ .

$\frac{3 v}{3} = \frac{24}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 v}{3} = \frac{24}{3}$

Divide $v$ by $1$ .

$v = \frac{24}{3}$

Simplify the right side.

Divide $24$ by $3$ .

$v = 8$