Find the missing number so that the equation has infinitely many solutions.x+4=–2(2x–2)

Sure, let's solve the equation step by step:

1. First, distribute the -2 on the right side of the equation: -2 * 2x = -4x and -2 * -2 = 4. So, the equation becomes: x + 4 = -4x + 4.

2. Next, let's get all the x terms on one side of the equation and the constants on the other side. Add 4x to both sides to get: x + 4x = 4 - 4.

3. Simplify both sides: 5x = 0.

4. Finally, solve for x by dividing both sides by 5: x = 0/5 = 0.

So, for the equation to have infinitely many solutions, the missing number should make x = 0.