Solve for p 4p+25=6(p-3)-3(4-3p)

$4 p + 25 = 6 (p - 3) - 3 (4 - 3 p)$

Step 1

Since $p$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 (p - 3) - 3 (4 - 3 p) = 4 p + 25$

Step 2

Simplify $6 (p - 3) - 3 (4 - 3 p)$ .

Simplify each term.

Apply the distributive property.

$6 p + 6 \cdot - 3 - 3 (4 - 3 p) = 4 p + 25$

Multiply $6$ by $- 3$ .

$6 p - 18 - 3 (4 - 3 p) = 4 p + 25$

Apply the distributive property.

$6 p - 18 - 3 \cdot 4 - 3 (- 3 p) = 4 p + 25$

Multiply $- 3$ by $4$ .

$6 p - 18 - 12 - 3 (- 3 p) = 4 p + 25$

Multiply $- 3$ by $- 3$ .

$6 p - 18 - 12 + 9 p = 4 p + 25$

Simplify by adding terms.

Add $6 p$ and $9 p$ .

$15 p - 18 - 12 = 4 p + 25$

Subtract $12$ from $- 18$ .

$15 p - 30 = 4 p + 25$

Step 3

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

Subtract $4 p$ from both sides of the equation.

$15 p - 30 - 4 p = 25$

Subtract $4 p$ from $15 p$ .

$11 p - 30 = 25$

Step 4

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

Add $30$ to both sides of the equation.

$11 p = 25 + 30$

Add $25$ and $30$ .

$11 p = 55$

Step 5

Divide each term in $11 p = 55$ by $11$ and simplify.

Divide each term in $11 p = 55$ by $11$ .

$\frac{11 p}{11} = \frac{55}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 p}{11} = \frac{55}{11}$

Divide $p$ by $1$ .

$p = \frac{55}{11}$

Simplify the right side.

Divide $55$ by $11$ .

$p = 5$

Solve for p 4p+25=6(p-3)-3(4-3p)

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