Basic Math Examples

$- 2 (p - 5) + 7 P = - 5$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 p - 2 \cdot - 5 + 7 P = - 5$

Step 1.2

Multiply $- 2$ by $- 5$ .

$- 2 p + 10 + 7 P = - 5$

Step 2

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

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Step 2.1

Add $2 p$ to both sides of the equation.

$10 + 7 P = - 5 + 2 p$

Step 2.2

Subtract $10$ from both sides of the equation.

$7 P = - 5 + 2 p - 10$

Step 2.3

Subtract $10$ from $- 5$ .

$7 P = 2 p - 15$

Step 3

Divide each term in $7 P = 2 p - 15$ by $7$ and simplify.

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Step 3.1

Divide each term in $7 P = 2 p - 15$ by $7$ .

$\frac{7 P}{7} = \frac{2 p}{7} + \frac{- 15}{7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{7 P}{7} = \frac{2 p}{7} + \frac{- 15}{7}$

Step 3.2.1.2

Divide $P$ by $1$ .

$P = \frac{2 p}{7} + \frac{- 15}{7}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$P = \frac{2 p}{7} - \frac{15}{7}$