Solve for u u-9=-7u+7

$u - 9 = - 7 u + 7$

Step 1

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

Add $7 u$ to both sides of the equation.

$u - 9 + 7 u = 7$

Add $u$ and $7 u$ .

$8 u - 9 = 7$

Step 2

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

Add $9$ to both sides of the equation.

$8 u = 7 + 9$

Add $7$ and $9$ .

$8 u = 16$

Step 3

Divide each term in $8 u = 16$ by $8$ and simplify.

Divide each term in $8 u = 16$ by $8$ .

$\frac{8 u}{8} = \frac{16}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 u}{8} = \frac{16}{8}$

Divide $u$ by $1$ .

$u = \frac{16}{8}$

Simplify the right side.

Divide $16$ by $8$ .

$u = 2$