Solve for x P=5(2x-6)

$P = 5 (2 x - 6)$

Step 1

Rewrite the equation as $5 (2 x - 6) = P$ .

$5 (2 x - 6) = P$

Step 2

Divide each term in $5 (2 x - 6) = P$ by $5$ and simplify.

Divide each term in $5 (2 x - 6) = P$ by $5$ .

$\frac{5 (2 x - 6)}{5} = \frac{P}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (2 x - 6)}{5} = \frac{P}{5}$

Divide $2 x - 6$ by $1$ .

$2 x - 6 = \frac{P}{5}$

Step 3

Add $6$ to both sides of the equation.

$2 x = \frac{P}{5} + 6$

Step 4

Divide each term in $2 x = \frac{P}{5} + 6$ by $2$ and simplify.

Divide each term in $2 x = \frac{P}{5} + 6$ by $2$ .

$\frac{2 x}{2} = \frac{\frac{P}{5}}{2} + \frac{6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{\frac{P}{5}}{2} + \frac{6}{2}$

Divide $x$ by $1$ .

$x = \frac{\frac{P}{5}}{2} + \frac{6}{2}$

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{P}{5} \cdot \frac{1}{2} + \frac{6}{2}$

Multiply $\frac{P}{5} \cdot \frac{1}{2}$ .

Multiply $\frac{P}{5}$ by $\frac{1}{2}$ .

$x = \frac{P}{5 \cdot 2} + \frac{6}{2}$

Multiply $5$ by $2$ .

$x = \frac{P}{10} + \frac{6}{2}$

Divide $6$ by $2$ .

$x = \frac{P}{10} + 3$