Solve for v 4v+8=6v+10

$4 v + 8 = 6 v + 10$

Step 1

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

Subtract $6 v$ from both sides of the equation.

$4 v + 8 - 6 v = 10$

Subtract $6 v$ from $4 v$ .

$- 2 v + 8 = 10$

Step 2

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

Subtract $8$ from both sides of the equation.

$- 2 v = 10 - 8$

Subtract $8$ from $10$ .

$- 2 v = 2$

Step 3

Divide each term in $- 2 v = 2$ by $- 2$ and simplify.

Divide each term in $- 2 v = 2$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $v$ by $1$ .

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

Simplify the right side.

Divide $2$ by $- 2$ .

$v = - 1$