Basic Math Examples

$- \frac{2}{3} = \frac{1}{2} w - \frac{2}{3}$

Step 1

Rewrite the equation as $\frac{1}{2} w - \frac{2}{3} = - \frac{2}{3}$ .

$\frac{1}{2} w - \frac{2}{3} = - \frac{2}{3}$

Step 2

Combine $\frac{1}{2}$ and $w$ .

$\frac{w}{2} - \frac{2}{3} = - \frac{2}{3}$

Step 3

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

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Step 3.1

Add $\frac{2}{3}$ to both sides of the equation.

$\frac{w}{2} = - \frac{2}{3} + \frac{2}{3}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{w}{2} = \frac{- 2 + 2}{3}$

Step 3.3

Add $- 2$ and $2$ .

$\frac{w}{2} = \frac{0}{3}$

Step 3.4

Divide $0$ by $3$ .

$\frac{w}{2} = 0$

Step 4

Set the numerator equal to zero.

$w = 0$