how do you solve(2(2X-5)=-2)
With any unbalanced equation dealing with a single unknown variable, the objective is to isolate the unknown variable to one side (of the equals sign) and the rest of the numbers to the other. In order to do this we apply operations that affect both sides of the equation.

In this case, you would begin by dividing both sides by 2 to remove the 2 from the left side. This produces:

2X-5=-1 

notice that the parentheses are gone from the left side because of the earlier division eliminating the 2 that was affecting everything inside the inner parenthesis. Then add 5 to both sides to get rid of the 5 from the left:

2X=4

Divide both sides by 2 once more to eliminate the 2 that is being multiplied to X. This gives you the final answer of:

X=2
How can I verify that X=2 is a correct answer?