Solve for u -3+2u+6=-8u-7

$- 3 + 2 u + 6 = - 8 u - 7$

Add $- 3$ and $6$ .

$2 u + 3 = - 8 u - 7$

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

Add $8 u$ to both sides of the equation.

$2 u + 3 + 8 u = - 7$

Add $2 u$ and $8 u$ .

$10 u + 3 = - 7$

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

Subtract $3$ from both sides of the equation.

$10 u = - 7 - 3$

Subtract $3$ from $- 7$ .

$10 u = - 10$

Divide each term in $10 u = - 10$ by $10$ and simplify.

Divide each term in $10 u = - 10$ by $10$ .

$\frac{10 u}{10} = \frac{- 10}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 u}{10} = \frac{- 10}{10}$

Divide $u$ by $1$ .

$u = \frac{- 10}{10}$

Simplify the right side.

Divide $- 10$ by $10$ .

$u = - 1$