Solve for w 2/5w+5=6

$\frac{2}{5} w + 5 = 6$

Combine $\frac{2}{5}$ and $w$ .

$\frac{2 w}{5} + 5 = 6$

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

Tap for more steps…

Subtract $5$ from both sides of the equation.

$\frac{2 w}{5} = 6 - 5$

Subtract $5$ from $6$ .

$\frac{2 w}{5} = 1$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} \cdot \frac{2 w}{5} = \frac{5}{2} \cdot 1$

Simplify both sides of the equation.

Tap for more steps…

Simplify $\frac{5}{2} \cdot \frac{2 w}{5}$ .

Tap for more steps…

Cancel the common factor of $5$ .

Tap for more steps…

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 w}{5} = \frac{5}{2} \cdot 1$

Rewrite the expression.

$\frac{1}{2} \cdot (2 w) = \frac{5}{2} \cdot 1$

Cancel the common factor of $2$ .

Tap for more steps…

Factor $2$ out of $2 w$ .

$\frac{1}{2} \cdot (2 (w)) = \frac{5}{2} \cdot 1$

Cancel the common factor.

$\frac{1}{2} \cdot (2 w) = \frac{5}{2} \cdot 1$

Rewrite the expression.

$w = \frac{5}{2} \cdot 1$

Multiply $\frac{5}{2}$ by $1$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$w = 2.5$

Mixed Number Form:

$w = 2 \frac{1}{2}$

Solve for w 2/5w+5=6

Our Professionals