SOLUTION: can you explain to me how the problem {{{ 1/2x-8=14+1/2x}}} equals" no soultion"

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Question 117361: can you explain to me how the problem +1%2F2x-8=14%2B1%2F2x equals" no soultion"
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let w=1%2F2x

So we get +w-8=14%2Bw



w=14%2Bw%2B8Add 8 to both sides


w-w=14%2B8 Subtract w from both sides


0w=14%2B8 Combine like terms on the left side


0w=22 Combine like terms on the right side


0=22 Simplify

Since this equation is never true for any w value, this means there are no solutions.