Pre-Algebra Examples

$3 (x + 1) = 3 x + 3$

Step 1

Simplify $3 (x + 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (x + 1) = 3 x + 3$

Step 1.2

Simplify by adding zeros.

$3 (x + 1) = 3 x + 3$

Step 1.3

Apply the distributive property.

$3 x + 3 \cdot 1 = 3 x + 3$

Step 1.4

Multiply $3$ by $1$ .

$3 x + 3 = 3 x + 3$

Step 2

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

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Step 2.1

Subtract $3 x$ from both sides of the equation.

$3 x + 3 - 3 x = 3$

Step 2.2

Combine the opposite terms in $3 x + 3 - 3 x$ .

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Step 2.2.1

Subtract $3 x$ from $3 x$ .

$0 + 3 = 3$

Step 2.2.2

Add $0$ and $3$ .

$3 = 3$

Step 3

Since $3 = 3$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$