Algebra Examples

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

Step 1

Simplify $2 (x + 4)$ .

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding zeros.

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $2$ by $4$ .

$2 x + 8 = 2 x + 8$

Step 2

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

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Step 2.1

Subtract $2 x$ from both sides of the equation.

$2 x + 8 - 2 x = 8$

Step 2.2

Combine the opposite terms in $2 x + 8 - 2 x$ .

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Step 2.2.1

Subtract $2 x$ from $2 x$ .

$0 + 8 = 8$

Step 2.2.2

Add $0$ and $8$ .

$8 = 8$

Step 3

Since $8 = 8$ , the equation will always be true.

Always true