Solve for P D=11/5(P-15)

$D = \frac{11}{5} (P - 15)$

Step 1

Rewrite the equation as $\frac{11}{5} \cdot (P - 15) = D$ .

$\frac{11}{5} \cdot (P - 15) = D$

Step 2

Multiply both sides of the equation by $\frac{5}{11}$ .

$\frac{5}{11} (\frac{11}{5} \cdot (P - 15)) = \frac{5}{11} D$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{11} (\frac{11}{5} \cdot (P - 15))$ .

Apply the distributive property.

$\frac{5}{11} (\frac{11}{5} P + \frac{11}{5} \cdot - 15) = \frac{5}{11} D$

Combine $\frac{11}{5}$ and $P$ .

$\frac{5}{11} (\frac{11 P}{5} + \frac{11}{5} \cdot - 15) = \frac{5}{11} D$

Cancel the common factor of $5$ .

Factor $5$ out of $- 15$ .

$\frac{5}{11} (\frac{11 P}{5} + \frac{11}{5} \cdot (5 (- 3))) = \frac{5}{11} D$

Cancel the common factor.

$\frac{5}{11} (\frac{11 P}{5} + \frac{11}{5} \cdot (5 \cdot - 3)) = \frac{5}{11} D$

Rewrite the expression.

$\frac{5}{11} (\frac{11 P}{5} + 11 \cdot - 3) = \frac{5}{11} D$

Multiply $11$ by $- 3$ .

$\frac{5}{11} (\frac{11 P}{5} - 33) = \frac{5}{11} D$

Apply the distributive property.

$\frac{5}{11} \cdot \frac{11 P}{5} + \frac{5}{11} \cdot - 33 = \frac{5}{11} D$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{11} \cdot \frac{11 P}{5} + \frac{5}{11} \cdot - 33 = \frac{5}{11} D$

Rewrite the expression.

$\frac{1}{11} (11 P) + \frac{5}{11} \cdot - 33 = \frac{5}{11} D$

Cancel the common factor of $11$ .

Factor $11$ out of $11 P$ .

$\frac{1}{11} (11 (P)) + \frac{5}{11} \cdot - 33 = \frac{5}{11} D$

Cancel the common factor.

$\frac{1}{11} (11 P) + \frac{5}{11} \cdot - 33 = \frac{5}{11} D$

Rewrite the expression.

$P + \frac{5}{11} \cdot - 33 = \frac{5}{11} D$

Cancel the common factor of $11$ .

Factor $11$ out of $- 33$ .

$P + \frac{5}{11} \cdot (11 (- 3)) = \frac{5}{11} D$

Cancel the common factor.

$P + \frac{5}{11} \cdot (11 \cdot - 3) = \frac{5}{11} D$

Rewrite the expression.

$P + 5 \cdot - 3 = \frac{5}{11} D$

Multiply $5$ by $- 3$ .

$P - 15 = \frac{5}{11} D$

Simplify the right side.

Combine $\frac{5}{11}$ and $D$ .

$P - 15 = \frac{5 D}{11}$

Step 4

Add $15$ to both sides of the equation.

$P = \frac{5 D}{11} + 15$

Solve for P D=11/5(P-15)

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