Pre-Algebra Examples

$4 (3 x + 2) = 12 x + 8$

Step 1

Simplify $4 (3 x + 2)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 4 (3 x + 2) = 12 x + 8$

Step 1.2

Simplify by adding zeros.

$4 (3 x + 2) = 12 x + 8$

Step 1.3

Apply the distributive property.

$4 (3 x) + 4 \cdot 2 = 12 x + 8$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply $3$ by $4$ .

$12 x + 4 \cdot 2 = 12 x + 8$

Step 1.4.2

Multiply $4$ by $2$ .

$12 x + 8 = 12 x + 8$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $12 x$ from both sides of the equation.

$12 x + 8 - 12 x = 8$

Step 2.2

Combine the opposite terms in $12 x + 8 - 12 x$ .

Tap for more steps...

Step 2.2.1

Subtract $12 x$ from $12 x$ .

$0 + 8 = 8$

Step 2.2.2

Add $0$ and $8$ .

$8 = 8$

Step 3

Since $8 = 8$ , 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:

$(- \infty, \infty)$