Basic Math Examples

$\frac{1}{3} p + 7 = 12 - \frac{2}{3} p$

Step 1

Combine $\frac{1}{3}$ and $p$ .

$\frac{p}{3} + 7 = 12 - \frac{2}{3} p$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Combine $p$ and $\frac{2}{3}$ .

$\frac{p}{3} + 7 = 12 - \frac{p \cdot 2}{3}$

Step 2.2

Move $2$ to the left of $p$ .

$\frac{p}{3} + 7 = 12 - \frac{2 p}{3}$

Step 3

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

Tap for more steps...

Step 3.1

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

$\frac{p}{3} + 7 + \frac{2 p}{3} = 12$

Step 3.2

Combine the numerators over the common denominator.

$7 + \frac{p + 2 p}{3} = 12$

Step 3.3

Add $p$ and $2 p$ .

$7 + \frac{3 p}{3} = 12$

Step 3.4

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.4.1

Cancel the common factor.

$7 + \frac{3 p}{3} = 12$

Step 3.4.2

Divide $p$ by $1$ .

$7 + p = 12$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $7$ from both sides of the equation.

$p = 12 - 7$

Step 4.2

Subtract $7$ from $12$ .

$p = 5$