Solve for x 2x+4=2(x+2)

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

Step 1

Simplify $2 (x + 2)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $2$ by $2$ .

$2 x + 4 = 2 x + 4$

Step 2

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

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

$2 x + 4 - 2 x = 4$

Combine the opposite terms in $2 x + 4 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 + 4 = 4$

Add $0$ and $4$ .

$4 = 4$

Step 3

Since $4 = 4$ , 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:

$(- \infty, \infty)$