Solve for u -10u+10=-1-9u+7

$- 10 u + 10 = - 1 - 9 u + 7$

Step 1

Add $- 1$ and $7$ .

$- 10 u + 10 = - 9 u + 6$

Step 2

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

Add $9 u$ to both sides of the equation.

$- 10 u + 10 + 9 u = 6$

Add $- 10 u$ and $9 u$ .

$- u + 10 = 6$

Step 3

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

Subtract $10$ from both sides of the equation.

$- u = 6 - 10$

Subtract $10$ from $6$ .

$- u = - 4$

Step 4

Divide each term in $- u = - 4$ by $- 1$ and simplify.

Divide each term in $- u = - 4$ by $- 1$ .

$\frac{- u}{- 1} = \frac{- 4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{u}{1} = \frac{- 4}{- 1}$

Divide $u$ by $1$ .

$u = \frac{- 4}{- 1}$

Simplify the right side.

Divide $- 4$ by $- 1$ .

$u = 4$