Solve for w 19w-4w+23=8w-19

$19 w - 4 w + 23 = 8 w - 19$

Subtract $4 w$ from $19 w$ .

$15 w + 23 = 8 w - 19$

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

Subtract $8 w$ from both sides of the equation.

$15 w + 23 - 8 w = - 19$

Subtract $8 w$ from $15 w$ .

$7 w + 23 = - 19$

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

Subtract $23$ from both sides of the equation.

$7 w = - 19 - 23$

Subtract $23$ from $- 19$ .

$7 w = - 42$

Divide each term in $7 w = - 42$ by $7$ and simplify.

Divide each term in $7 w = - 42$ by $7$ .

$\frac{7 w}{7} = \frac{- 42}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 w}{7} = \frac{- 42}{7}$

Divide $w$ by $1$ .

$w = \frac{- 42}{7}$

Simplify the right side.

Divide $- 42$ by $7$ .

$w = - 6$