Solve for w 5w-8=14

$5 w - 8 = 14$

Step 1

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

Add $8$ to both sides of the equation.

$5 w = 14 + 8$

Add $14$ and $8$ .

$5 w = 22$

Step 2

Divide each term in $5 w = 22$ by $5$ and simplify.

Divide each term in $5 w = 22$ by $5$ .

$\frac{5 w}{5} = \frac{22}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 w}{5} = \frac{22}{5}$

Divide $w$ by $1$ .

$w = \frac{22}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$w = \frac{22}{5}$

Decimal Form:

$w = 4.4$

Mixed Number Form:

$w = 4 \frac{2}{5}$