Question 20509
2(x-2) = x+3


Solution:
2(x-2) = x+3
2x-4 = x+3
2x-x = 3+4
x = 7


Do you see where you made your mistake?  When you removed the parentheses, you failed to multiply both terms by 2.  x and 2 are separate terms, and each must be multiplied by what is outside the parentheses.