Solve for p 10p-3=2(12+4p)-7

$10 p - 3 = 2 (12 + 4 p) - 7$

Simplify $2 (12 + 4 p) - 7$ .

Simplify each term.

Apply the distributive property.

$10 p - 3 = 2 \cdot 12 + 2 (4 p) - 7$

Multiply $2$ by $12$ .

$10 p - 3 = 24 + 2 (4 p) - 7$

Multiply $4$ by $2$ .

$10 p - 3 = 24 + 8 p - 7$

Subtract $7$ from $24$ .

$10 p - 3 = 8 p + 17$

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

Subtract $8 p$ from both sides of the equation.

$10 p - 3 - 8 p = 17$

Subtract $8 p$ from $10 p$ .

$2 p - 3 = 17$

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 $3$ .

$2 p = 20$

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 $2$ .

$p = 10$