Solve for p 17=p-3-3p

$17 = p - 3 - 3 p$

Step 1

Rewrite the equation as $p - 3 - 3 p = 17$ .

$p - 3 - 3 p = 17$

Step 2

Subtract $3 p$ from $p$ .

$- 2 p - 3 = 17$

Step 3

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

Add $3$ to both sides of the equation.

$- 2 p = 17 + 3$

Add $17$ and $3$ .

$- 2 p = 20$

Step 4

Divide each term in $- 2 p = 20$ by $- 2$ and simplify.

Divide each term in $- 2 p = 20$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{20}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{20}{- 2}$

Divide $p$ by $1$ .

$p = \frac{20}{- 2}$

Simplify the right side.

Divide $20$ by $- 2$ .

$p = - 10$