Solve for w w-2+2w=6+5w

$w - 2 + 2 w = 6 + 5 w$

Add $w$ and $2 w$ .

$3 w - 2 = 6 + 5 w$

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

Subtract $5 w$ from both sides of the equation.

$3 w - 2 - 5 w = 6$

Subtract $5 w$ from $3 w$ .

$- 2 w - 2 = 6$

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

Add $2$ to both sides of the equation.

$- 2 w = 6 + 2$

Add $6$ and $2$ .

$- 2 w = 8$

Divide each term in $- 2 w = 8$ by $- 2$ and simplify.

Divide each term in $- 2 w = 8$ by $- 2$ .

$\frac{- 2 w}{- 2} = \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 w}{- 2} = \frac{8}{- 2}$

Divide $w$ by $1$ .

$w = \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$w = - 4$