Solve for x -2x-6=2-4x-(x-1)

$- 2 x - 6 = 2 - 4 x - (x - 1)$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 - 4 x - (x - 1) = - 2 x - 6$

Simplify $2 - 4 x - (x - 1)$ .

Simplify each term.

Apply the distributive property.

$2 - 4 x - x - - 1 = - 2 x - 6$

Multiply $- 1$ by $- 1$ .

$2 - 4 x - x + 1 = - 2 x - 6$

Simplify by adding terms.

Add $2$ and $1$ .

$- 4 x - x + 3 = - 2 x - 6$

Subtract $x$ from $- 4 x$ .

$- 5 x + 3 = - 2 x - 6$

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

Add $2 x$ to both sides of the equation.

$- 5 x + 3 + 2 x = - 6$

Add $- 5 x$ and $2 x$ .

$- 3 x + 3 = - 6$

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

Subtract $3$ from both sides of the equation.

$- 3 x = - 6 - 3$

Subtract $3$ from $- 6$ .

$- 3 x = - 9$

Divide each term in $- 3 x = - 9$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 9$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 9}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 9}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 9}{- 3}$

Simplify the right side.

Divide $- 9$ by $- 3$ .

$x = 3$