Find All Complex Solutions 2x+8=2(x+4)

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

Simplify $2 (x + 4)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $2$ by $4$ .

$2 x + 8 = 2 x + 8$

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

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

$2 x + 8 - 2 x = 8$

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

Subtract $2 x$ from $2 x$ .

$0 + 8 = 8$

Add $0$ and $8$ .

$8 = 8$

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

Always true