Algebra Examples

$- 15 = 6 p + 15 - 10 p$

Step 1

Rewrite the equation as $6 p + 15 - 10 p = - 15$ .

$6 p + 15 - 10 p = - 15$

Step 2

Subtract $10 p$ from $6 p$ .

$- 4 p + 15 = - 15$

Step 3

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

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Step 3.1

Subtract $15$ from both sides of the equation.

$- 4 p = - 15 - 15$

Step 3.2

Subtract $15$ from $- 15$ .

$- 4 p = - 30$

Step 4

Divide each term in $- 4 p = - 30$ by $- 4$ and simplify.

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Step 4.1

Divide each term in $- 4 p = - 30$ by $- 4$ .

$\frac{- 4 p}{- 4} = \frac{- 30}{- 4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 4 p}{- 4} = \frac{- 30}{- 4}$

Step 4.2.1.2

Divide $p$ by $1$ .

$p = \frac{- 30}{- 4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $- 30$ and $- 4$ .

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Step 4.3.1.1

Factor $- 2$ out of $- 30$ .

$p = \frac{- 2 (15)}{- 4}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $- 2$ out of $- 4$ .

$p = \frac{- 2 \cdot 15}{- 2 \cdot 2}$

Step 4.3.1.2.2

Cancel the common factor.

$p = \frac{- 2 \cdot 15}{- 2 \cdot 2}$

Step 4.3.1.2.3

Rewrite the expression.

$p = \frac{15}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$p = \frac{15}{2}$

Decimal Form:

$p = 7.5$

Mixed Number Form:

$p = 7 \frac{1}{2}$