Pre-Algebra Examples

$5 (x + 3) - (5 x + 15) = 0$

Step 1

Simplify $5 (x + 3) - (5 x + 15)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 x + 5 \cdot 3 - (5 x + 15) = 0$

Step 1.1.2

Multiply $5$ by $3$ .

$5 x + 15 - (5 x + 15) = 0$

Step 1.1.3

Apply the distributive property.

$5 x + 15 - (5 x) - 1 \cdot 15 = 0$

Step 1.1.4

Multiply $5$ by $- 1$ .

$5 x + 15 - 5 x - 1 \cdot 15 = 0$

Step 1.1.5

Multiply $- 1$ by $15$ .

$5 x + 15 - 5 x - 15 = 0$

Step 1.2

Combine the opposite terms in $5 x + 15 - 5 x - 15$ .

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Step 1.2.1

Subtract $5 x$ from $5 x$ .

$0 + 15 - 15 = 0$

Step 1.2.2

Add $0$ and $15$ .

$15 - 15 = 0$

Step 1.2.3

Subtract $15$ from $15$ .

$0 = 0$

Step 2

Since $0 = 0$ , the equation will always be true for any value of $x$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$