Solve for u -7u+11u+5=2u+31

$- 7 u + 11 u + 5 = 2 u + 31$

Step 1

Add $- 7 u$ and $11 u$ .

$4 u + 5 = 2 u + 31$

Step 2

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

Subtract $2 u$ from both sides of the equation.

$4 u + 5 - 2 u = 31$

Subtract $2 u$ from $4 u$ .

$2 u + 5 = 31$

Step 3

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

Subtract $5$ from both sides of the equation.

$2 u = 31 - 5$

Subtract $5$ from $31$ .

$2 u = 26$

Step 4

Divide each term in $2 u = 26$ by $2$ and simplify.

Divide each term in $2 u = 26$ by $2$ .

$\frac{2 u}{2} = \frac{26}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 u}{2} = \frac{26}{2}$

Divide $u$ by $1$ .

$u = \frac{26}{2}$

Simplify the right side.

Divide $26$ by $2$ .

$u = 13$