Solve for u 7-6u=5u+29

$7 - 6 u = 5 u + 29$

Step 1

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

Subtract $5 u$ from both sides of the equation.

$7 - 6 u - 5 u = 29$

Subtract $5 u$ from $- 6 u$ .

$7 - 11 u = 29$

Step 2

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

Subtract $7$ from both sides of the equation.

$- 11 u = 29 - 7$

Subtract $7$ from $29$ .

$- 11 u = 22$

Step 3

Divide each term in $- 11 u = 22$ by $- 11$ and simplify.

Divide each term in $- 11 u = 22$ by $- 11$ .

$\frac{- 11 u}{- 11} = \frac{22}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 u}{- 11} = \frac{22}{- 11}$

Divide $u$ by $1$ .

$u = \frac{22}{- 11}$

Simplify the right side.

Divide $22$ by $- 11$ .

$u = - 2$