Solve for u -1-3u+11u=-14+9u

$- 1 - 3 u + 11 u = - 14 + 9 u$

Step 1

Add $- 3 u$ and $11 u$ .

$- 1 + 8 u = - 14 + 9 u$

Step 2

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

Subtract $9 u$ from both sides of the equation.

$- 1 + 8 u - 9 u = - 14$

Subtract $9 u$ from $8 u$ .

$- 1 - u = - 14$

Step 3

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

Add $1$ to both sides of the equation.

$- u = - 14 + 1$

Add $- 14$ and $1$ .

$- u = - 13$

Step 4

Divide each term in $- u = - 13$ by $- 1$ and simplify.

Divide each term in $- u = - 13$ by $- 1$ .

$\frac{- u}{- 1} = \frac{- 13}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{u}{1} = \frac{- 13}{- 1}$

Divide $u$ by $1$ .

$u = \frac{- 13}{- 1}$

Simplify the right side.

Divide $- 13$ by $- 1$ .

$u = 13$