Solve for w 5w+8-w=6w-2(w-4)

$5 w + 8 - w = 6 w - 2 (w - 4)$

Subtract $w$ from $5 w$ .

$4 w + 8 = 6 w - 2 (w - 4)$

Simplify $6 w - 2 (w - 4)$ .

Simplify each term.

Apply the distributive property.

$4 w + 8 = 6 w - 2 w - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$4 w + 8 = 6 w - 2 w + 8$

Subtract $2 w$ from $6 w$ .

$4 w + 8 = 4 w + 8$

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

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

$4 w + 8 - 4 w = 8$

Combine the opposite terms in $4 w + 8 - 4 w$ .

Subtract $4 w$ from $4 w$ .

$0 + 8 = 8$

Add $0$ and $8$ .

$8 = 8$

Since $8 = 8$ , the equation will always be true for any value of $w$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$