Solve for u 14+12u=-16+9u

$14 + 12 u = - 16 + 9 u$

Step 1

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

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

$14 + 12 u - 9 u = - 16$

Subtract $9 u$ from $12 u$ .

$14 + 3 u = - 16$

Step 2

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

Subtract $14$ from both sides of the equation.

$3 u = - 16 - 14$

Subtract $14$ from $- 16$ .

$3 u = - 30$

Step 3

Divide each term in $3 u = - 30$ by $3$ and simplify.

Divide each term in $3 u = - 30$ by $3$ .

$\frac{3 u}{3} = \frac{- 30}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 u}{3} = \frac{- 30}{3}$

Divide $u$ by $1$ .

$u = \frac{- 30}{3}$

Simplify the right side.

Divide $- 30$ by $3$ .

$u = - 10$