Solve for p 5+3(p-4)=2(p+3)

$5 + 3 (p - 4) = 2 (p + 3)$

Step 1

Simplify $5 + 3 (p - 4)$ .

Simplify each term.

Apply the distributive property.

$5 + 3 p + 3 \cdot - 4 = 2 (p + 3)$

Multiply $3$ by $- 4$ .

$5 + 3 p - 12 = 2 (p + 3)$

Subtract $12$ from $5$ .

$3 p - 7 = 2 (p + 3)$

Step 2

Simplify $2 (p + 3)$ .

Apply the distributive property.

$3 p - 7 = 2 p + 2 \cdot 3$

Multiply $2$ by $3$ .

$3 p - 7 = 2 p + 6$

Step 3

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

Subtract $2 p$ from both sides of the equation.

$3 p - 7 - 2 p = 6$

Subtract $2 p$ from $3 p$ .

$p - 7 = 6$

Step 4

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

Add $7$ to both sides of the equation.

$p = 6 + 7$

Add $6$ and $7$ .

$p = 13$