Solve for v 2(3v-8)=38

$2 (3 v - 8) = 38$

Step 1

Divide each term in $2 (3 v - 8) = 38$ by $2$ and simplify.

Divide each term in $2 (3 v - 8) = 38$ by $2$ .

$\frac{2 (3 v - 8)}{2} = \frac{38}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (3 v - 8)}{2} = \frac{38}{2}$

Divide $3 v - 8$ by $1$ .

$3 v - 8 = \frac{38}{2}$

Simplify the right side.

Divide $38$ by $2$ .

$3 v - 8 = 19$

Step 2

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

Add $8$ to both sides of the equation.

$3 v = 19 + 8$

Add $19$ and $8$ .

$3 v = 27$

Step 3

Divide each term in $3 v = 27$ by $3$ and simplify.

Divide each term in $3 v = 27$ by $3$ .

$\frac{3 v}{3} = \frac{27}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 v}{3} = \frac{27}{3}$

Divide $v$ by $1$ .

$v = \frac{27}{3}$

Simplify the right side.

Divide $27$ by $3$ .

$v = 9$