Solve for p 5=(4p-1)/3

$5 = \frac{4 p - 1}{3}$

Step 1

Rewrite the equation as $\frac{4 p - 1}{3} = 5$ .

$\frac{4 p - 1}{3} = 5$

Step 2

Multiply both sides by $3$ .

$\frac{4 p - 1}{3} \cdot 3 = 5 \cdot 3$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{4 p - 1}{3} \cdot 3 = 5 \cdot 3$

Rewrite the expression.

$4 p - 1 = 5 \cdot 3$

Simplify the right side.

Multiply $5$ by $3$ .

$4 p - 1 = 15$

Step 4

Solve for $p$ .

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

Add $1$ to both sides of the equation.

$4 p = 15 + 1$

Add $15$ and $1$ .

$4 p = 16$

Divide each term in $4 p = 16$ by $4$ and simplify.

Divide each term in $4 p = 16$ by $4$ .

$\frac{4 p}{4} = \frac{16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 p}{4} = \frac{16}{4}$

Divide $p$ by $1$ .

$p = \frac{16}{4}$

Simplify the right side.

Divide $16$ by $4$ .

$p = 4$