Solve for w w+3=4w-6

$w + 3 = 4 w - 6$

Step 1

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

Subtract $4 w$ from both sides of the equation.

$w + 3 - 4 w = - 6$

Subtract $4 w$ from $w$ .

$- 3 w + 3 = - 6$

Step 2

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

Subtract $3$ from both sides of the equation.

$- 3 w = - 6 - 3$

Subtract $3$ from $- 6$ .

$- 3 w = - 9$

Step 3

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 $- 3$ .

$w = 3$