Solve for w -2(w+1)+w=7-4w

$- 2 (w + 1) + w = 7 - 4 w$

Step 1

Simplify $- 2 (w + 1) + w$ .

Simplify each term.

Apply the distributive property.

$- 2 w - 2 \cdot 1 + w = 7 - 4 w$

Multiply $- 2$ by $1$ .

$- 2 w - 2 + w = 7 - 4 w$

Add $- 2 w$ and $w$ .

$- w - 2 = 7 - 4 w$

Step 2

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

Add $4 w$ to both sides of the equation.

$- w - 2 + 4 w = 7$

Add $- w$ and $4 w$ .

$3 w - 2 = 7$

Step 3

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

Add $2$ to both sides of the equation.

$3 w = 7 + 2$

Add $7$ and $2$ .

$3 w = 9$

Step 4

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

Divide each term in $3 w = 9$ by $3$ .

$\frac{3 w}{3} = \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 w}{3} = \frac{9}{3}$

Divide $w$ by $1$ .

$w = \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$w = 3$