Solve for u 8u+13=7u+5u-11

$8 u + 13 = 7 u + 5 u - 11$

Since $u$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 u + 5 u - 11 = 8 u + 13$

Add $7 u$ and $5 u$ .

$12 u - 11 = 8 u + 13$

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

Subtract $8 u$ from both sides of the equation.

$12 u - 11 - 8 u = 13$

Subtract $8 u$ from $12 u$ .

$4 u - 11 = 13$

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

Add $11$ to both sides of the equation.

$4 u = 13 + 11$

Add $13$ and $11$ .

$4 u = 24$

Divide each term in $4 u = 24$ by $4$ and simplify.

Divide each term in $4 u = 24$ by $4$ .

$\frac{4 u}{4} = \frac{24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 u}{4} = \frac{24}{4}$

Divide $u$ by $1$ .

$u = \frac{24}{4}$

Simplify the right side.

Divide $24$ by $4$ .

$u = 6$