Solve for u 12u-9u-5u+13=-5

$12 u - 9 u - 5 u + 13 = - 5$

Step 1

Simplify $12 u - 9 u - 5 u + 13$ .

Subtract $9 u$ from $12 u$ .

$3 u - 5 u + 13 = - 5$

Subtract $5 u$ from $3 u$ .

$- 2 u + 13 = - 5$

Step 2

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

Subtract $13$ from both sides of the equation.

$- 2 u = - 5 - 13$

Subtract $13$ from $- 5$ .

$- 2 u = - 18$

Step 3

Divide each term in $- 2 u = - 18$ by $- 2$ and simplify.

Divide each term in $- 2 u = - 18$ by $- 2$ .

$\frac{- 2 u}{- 2} = \frac{- 18}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 u}{- 2} = \frac{- 18}{- 2}$

Divide $u$ by $1$ .

$u = \frac{- 18}{- 2}$

Simplify the right side.

Divide $- 18$ by $- 2$ .

$u = 9$