Solve for a 2(a-2)=2a-4

$2 (a - 2) = 2 a - 4$

Simplify $2 (a - 2)$ .

Rewrite.

$0 + 0 + 2 (a - 2) = 2 a - 4$

Simplify by adding zeros.

$2 (a - 2) = 2 a - 4$

Apply the distributive property.

$2 a + 2 \cdot - 2 = 2 a - 4$

Multiply $2$ by $- 2$ .

$2 a - 4 = 2 a - 4$

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

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

$2 a - 4 - 2 a = - 4$

Combine the opposite terms in $2 a - 4 - 2 a$ .

Subtract $2 a$ from $2 a$ .

$0 - 4 = - 4$

Subtract $4$ from $0$ .

$- 4 = - 4$

Since $- 4 = - 4$ , the equation will always be true for any value of $a$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$