Solve for w -3w-4=w+3

$- 3 w - 4 = w + 3$

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

Subtract $w$ from both sides of the equation.

$- 3 w - 4 - w = 3$

Subtract $w$ from $- 3 w$ .

$- 4 w - 4 = 3$

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

Add $4$ to both sides of the equation.

$- 4 w = 3 + 4$

Add $3$ and $4$ .

$- 4 w = 7$

Divide each term in $- 4 w = 7$ by $- 4$ and simplify.

Divide each term in $- 4 w = 7$ by $- 4$ .

$\frac{- 4 w}{- 4} = \frac{7}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 w}{- 4} = \frac{7}{- 4}$

Divide $w$ by $1$ .

$w = \frac{7}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$w = - \frac{7}{4}$

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{7}{4}$

Decimal Form:

$w = - 1.75$

Mixed Number Form:

$w = - 1 \frac{3}{4}$