Solve for p 2p+5>2(p-3)

$2 p + 5 > 2 (p - 3)$

Simplify $2 (p - 3)$ .

Rewrite.

$2 p + 5 > 0 + 0 + 2 (p - 3)$

Simplify by adding zeros.

$2 p + 5 > 2 (p - 3)$

Apply the distributive property.

$2 p + 5 > 2 p + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$2 p + 5 > 2 p - 6$

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

Subtract $2 p$ from both sides of the inequality.

$2 p + 5 - 2 p > - 6$

Combine the opposite terms in $2 p + 5 - 2 p$ .

Subtract $2 p$ from $2 p$ .

$0 + 5 > - 6$

Add $0$ and $5$ .

$5 > - 6$

Since $5 > - 6$ , the inequality will always be true for any value of $p$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$