Solve for x -9x+1=-x+17

$- 9 x + 1 = - x + 17$

Step 1

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

Add $x$ to both sides of the equation.

$- 9 x + 1 + x = 17$

Add $- 9 x$ and $x$ .

$- 8 x + 1 = 17$

Step 2

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

Subtract $1$ from both sides of the equation.

$- 8 x = 17 - 1$

Subtract $1$ from $17$ .

$- 8 x = 16$

Step 3

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

Divide each term in $- 8 x = 16$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{16}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{16}{- 8}$

Divide $x$ by $1$ .

$x = \frac{16}{- 8}$

Simplify the right side.

Divide $16$ by $- 8$ .

$x = - 2$