Solve for p 7p+3w=w-12-3p

$7 p + 3 w = w - 12 - 3 p$

Step 1

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

Add $3 p$ to both sides of the equation.

$7 p + 3 w + 3 p = w - 12$

Add $7 p$ and $3 p$ .

$10 p + 3 w = w - 12$

Step 2

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

Subtract $3 w$ from both sides of the equation.

$10 p = w - 12 - 3 w$

Subtract $3 w$ from $w$ .

$10 p = - 2 w - 12$

Step 3

Divide each term in $10 p = - 2 w - 12$ by $10$ and simplify.

Divide each term in $10 p = - 2 w - 12$ by $10$ .

$\frac{10 p}{10} = \frac{- 2 w}{10} + \frac{- 12}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 p}{10} = \frac{- 2 w}{10} + \frac{- 12}{10}$

Divide $p$ by $1$ .

$p = \frac{- 2 w}{10} + \frac{- 12}{10}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 2$ and $10$ .

Factor $2$ out of $- 2 w$ .

$p = \frac{2 (- w)}{10} + \frac{- 12}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$p = \frac{2 (- w)}{2 (5)} + \frac{- 12}{10}$

Cancel the common factor.

$p = \frac{2 (- w)}{2 \cdot 5} + \frac{- 12}{10}$

Rewrite the expression.

$p = \frac{- w}{5} + \frac{- 12}{10}$

Move the negative in front of the fraction.

$p = - \frac{w}{5} + \frac{- 12}{10}$

Cancel the common factor of $- 12$ and $10$ .

Factor $2$ out of $- 12$ .

$p = - \frac{w}{5} + \frac{2 (- 6)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$p = - \frac{w}{5} + \frac{2 \cdot - 6}{2 \cdot 5}$

Cancel the common factor.

$p = - \frac{w}{5} + \frac{2 \cdot - 6}{2 \cdot 5}$

Rewrite the expression.

$p = - \frac{w}{5} + \frac{- 6}{5}$

Move the negative in front of the fraction.

$p = - \frac{w}{5} - \frac{6}{5}$

Solve for p 7p+3w=w-12-3p

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