Solve for w 18w+13=19w-7+6

$18 w + 13 = 19 w - 7 + 6$

Step 1

Add $- 7$ and $6$ .

$18 w + 13 = 19 w - 1$

Step 2

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

Subtract $19 w$ from both sides of the equation.

$18 w + 13 - 19 w = - 1$

Subtract $19 w$ from $18 w$ .

$- w + 13 = - 1$

Step 3

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

Subtract $13$ from both sides of the equation.

$- w = - 1 - 13$

Subtract $13$ from $- 1$ .

$- w = - 14$

Step 4

Divide each term in $- w = - 14$ by $- 1$ and simplify.

Divide each term in $- w = - 14$ by $- 1$ .

$\frac{- w}{- 1} = \frac{- 14}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{w}{1} = \frac{- 14}{- 1}$

Divide $w$ by $1$ .

$w = \frac{- 14}{- 1}$

Simplify the right side.

Divide $- 14$ by $- 1$ .

$w = 14$