Solve for p 3+10p=5

$3 + 10 p = 5$

Step 1

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

Subtract $3$ from both sides of the equation.

$10 p = 5 - 3$

Subtract $3$ from $5$ .

$10 p = 2$

Step 2

Divide each term in $10 p = 2$ by $10$ and simplify.

Divide each term in $10 p = 2$ by $10$ .

$\frac{10 p}{10} = \frac{2}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 p}{10} = \frac{2}{10}$

Divide $p$ by $1$ .

$p = \frac{2}{10}$

Simplify the right side.

Cancel the common factor of $2$ and $10$ .

Factor $2$ out of $2$ .

$p = \frac{2 (1)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$p = \frac{2 \cdot 1}{2 \cdot 5}$

Cancel the common factor.

$p = \frac{2 \cdot 1}{2 \cdot 5}$

Rewrite the expression.

$p = \frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$p = \frac{1}{5}$

Decimal Form:

$p = 0.2$