SOLUTION: I am having a problem solving the following equation: -6(w+1)-w-11=-7(w+5)+18 My options for answers are: 1. The solution set is (enter answer) 2. The solution is all re

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Question 737007: I am having a problem solving the following equation:
-6(w+1)-w-11=-7(w+5)+18
My options for answers are:
1. The solution set is (enter answer)
2. The solution is all real numbers
3. The solution set is (a null symbol)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-6%28w%2B1%29-w-11=-7%28w%2B5%29%2B18 Start with the given equation.


-6w-6-w-11=-7w-35%2B18 Distribute.


-7w-17=-7w-35%2B18 Combine like terms on the left side.


-7w-17=-7w-17 Combine like terms on the right side.


-7w=-7w-17%2B17 Add 17 to both sides.


-7w%2B7w=-17%2B17 Add 7w to both sides.


0w=-17%2B17 Combine like terms on the left side.


0w=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is always true for any w value, this means w can equal any number. So there are an infinite number of solutions.

So the answer is choice 2

1. The solution set is (enter answer)
2. The solution is all real numbers
3. The solution set is (a null symbol)