Basic Math Examples

5 p - 9 = 2 p + 12

$5 p - 9 = 2 p + 12$

Step 1

Move all terms containing

p

$p$ to the left side of the equation.

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Step 1.1

Subtract

2 p

$2 p$ from both sides of the equation.

5 p - 9 - 2 p = 12

$5 p - 9 - 2 p = 12$

Step 1.2

Subtract

2 p

$2 p$ from

5 p

$5 p$ .

3 p - 9 = 12

$3 p - 9 = 12$

3 p - 9 = 12

$3 p - 9 = 12$

Step 2

Move all terms not containing

p

$p$ to the right side of the equation.

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Step 2.1

Add

9

$9$ to both sides of the equation.

3 p = 12 + 9

$3 p = 12 + 9$

Step 2.2

Add

12

$12$ and

9

$9$ .

3 p = 21

$3 p = 21$

3 p = 21

$3 p = 21$

Step 3

Divide each term in

3 p = 21

$3 p = 21$ by

3

$3$ and simplify.

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Step 3.1

Divide each term in

3 p = 21

$3 p = 21$ by

3

$3$ .

\frac{3 p}{3} = \frac{21}{3}

$\frac{3 p}{3} = \frac{21}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

3

$3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 p}{3} = \frac{21}{3}$

Step 3.2.1.2

Divide

$p$ by

$1$ .

$p = \frac{21}{3}$

$p = \frac{21}{3}$

$p = \frac{21}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$21$ by

$3$ .

$p = 7$

$p = 7$

$p = 7$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$