Solve for u -4u+13u+5=6u+32

$- 4 u + 13 u + 5 = 6 u + 32$

Step 1

Add $- 4 u$ and $13 u$ .

$9 u + 5 = 6 u + 32$

Step 2

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

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

$9 u + 5 - 6 u = 32$

Subtract $6 u$ from $9 u$ .

$3 u + 5 = 32$

Step 3

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

Subtract $5$ from both sides of the equation.

$3 u = 32 - 5$

Subtract $5$ from $32$ .

$3 u = 27$

Step 4

Divide each term in $3 u = 27$ by $3$ and simplify.

Divide each term in $3 u = 27$ by $3$ .

$\frac{3 u}{3} = \frac{27}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 u}{3} = \frac{27}{3}$

Divide $u$ by $1$ .

$u = \frac{27}{3}$

Simplify the right side.

Divide $27$ by $3$ .

$u = 9$