Solve for w 6w-33=3(4w-5)

$6 w - 33 = 3 (4 w - 5)$

Step 1

Simplify $3 (4 w - 5)$ .

Rewrite.

$6 w - 33 = 0 + 0 + 3 (4 w - 5)$

Simplify by adding zeros.

$6 w - 33 = 3 (4 w - 5)$

Apply the distributive property.

$6 w - 33 = 3 (4 w) + 3 \cdot - 5$

Multiply.

Multiply $4$ by $3$ .

$6 w - 33 = 12 w + 3 \cdot - 5$

Multiply $3$ by $- 5$ .

$6 w - 33 = 12 w - 15$

Step 2

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

Subtract $12 w$ from both sides of the equation.

$6 w - 33 - 12 w = - 15$

Subtract $12 w$ from $6 w$ .

$- 6 w - 33 = - 15$

Step 3

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

Add $33$ to both sides of the equation.

$- 6 w = - 15 + 33$

Add $- 15$ and $33$ .

$- 6 w = 18$

Step 4

Divide each term in $- 6 w = 18$ by $- 6$ and simplify.

Divide each term in $- 6 w = 18$ by $- 6$ .

$\frac{- 6 w}{- 6} = \frac{18}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 w}{- 6} = \frac{18}{- 6}$

Divide $w$ by $1$ .

$w = \frac{18}{- 6}$

Simplify the right side.

Divide $18$ by $- 6$ .

$w = - 3$