Basic Math Examples

$3 p + 2 - 5 p - 3 = - 4 - 2 p + 3$

Step 1

Simplify $3 p + 2 - 5 p - 3$ .

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Step 1.1

Subtract $5 p$ from $3 p$ .

$- 2 p + 2 - 3 = - 4 - 2 p + 3$

Step 1.2

Subtract $3$ from $2$ .

$- 2 p - 1 = - 4 - 2 p + 3$

Step 2

Add $- 4$ and $3$ .

$- 2 p - 1 = - 2 p - 1$

Step 3

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

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Step 3.1

Add $2 p$ to both sides of the equation.

$- 2 p - 1 + 2 p = - 1$

Step 3.2

Combine the opposite terms in $- 2 p - 1 + 2 p$ .

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Step 3.2.1

Add $- 2 p$ and $2 p$ .

$0 - 1 = - 1$

Step 3.2.2

Subtract $1$ from $0$ .

$- 1 = - 1$

Step 4

Since $- 1 = - 1$ , the equation will always be true for any value of $p$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$