Solve for x -3x-6x=6+x-7x

$- 3 x - 6 x = 6 + x - 7 x$

Step 1

Subtract $6 x$ from $- 3 x$ .

$- 9 x = 6 + x - 7 x$

Step 2

Subtract $7 x$ from $x$ .

$- 9 x = 6 - 6 x$

Step 3

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

Add $6 x$ to both sides of the equation.

$- 9 x + 6 x = 6$

Add $- 9 x$ and $6 x$ .

$- 3 x = 6$

Step 4

Divide each term in $- 3 x = 6$ by $- 3$ and simplify.

Divide each term in $- 3 x = 6$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{6}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{6}{- 3}$

Divide $x$ by $1$ .

$x = \frac{6}{- 3}$

Simplify the right side.

Divide $6$ by $- 3$ .

$x = - 2$