which statement about this equation is true? 2x + 4 = 2(x + 2) the equation has no solution. the equation…

Explanation:

Step1: Expand the right - hand side

Use the distributive property (a(b + c)=ab+ac). Here (a = 2), (b=x) and (c = 2), so (2(x + 2)=2x+4).

Step2: Analyze the equation

The original equation (2x + 4=2(x + 2)) becomes (2x+4=2x + 4). Subtracting (2x) from both sides gives (4 = 4), which is always true regardless of the value of (x).

Answer:

The equation has infinitely many solutions.