Solve for p 2(p+5)-7=4p

$2 (p + 5) - 7 = 4 p$

Simplify $2 (p + 5) - 7$ .

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Simplify each term.

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Apply the distributive property.

$2 p + 2 \cdot 5 - 7 = 4 p$

Multiply $2$ by $5$ .

$2 p + 10 - 7 = 4 p$

Subtract $7$ from $10$ .

$2 p + 3 = 4 p$

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

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

$2 p + 3 - 4 p = 0$

Subtract $4 p$ from $2 p$ .

$- 2 p + 3 = 0$

Subtract $3$ from both sides of the equation.

$- 2 p = - 3$

Divide each term by $- 2$ and simplify.

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Divide each term in $- 2 p = - 3$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{- 3}{- 2}$

Cancel the common factor of $- 2$ .

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Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{- 3}{- 2}$

Divide $p$ by $1$ .

$p = \frac{- 3}{- 2}$

Dividing two negative values results in a positive value.

$p = \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$p = \frac{3}{2}$

Decimal Form:

$p = 1.5$

Mixed Number Form:

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

Solve for p 2(p+5)-7=4p

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