SOLUTION: Please help me solve the equation of Twice the sum of -2 and a number is the same as the number decreased by 1/2. Find the number: 2 (-2+x)=x-1/2; 2(-2x)=x-1/2; 4x=x-1/2; and

Algebra ->  Average -> SOLUTION: Please help me solve the equation of Twice the sum of -2 and a number is the same as the number decreased by 1/2. Find the number: 2 (-2+x)=x-1/2; 2(-2x)=x-1/2; 4x=x-1/2; and      Log On


   

Question 883006: Please help me solve the equation of Twice the sum of -2 and a number is the same as the number decreased by 1/2. Find the number:
2 (-2+x)=x-1/2; 2(-2x)=x-1/2; 4x=x-1/2; and that's as far as I can get. I know the answer is 7/2, but I don't know how to get that? HELP thank you!
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
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First off, let me thank you for letting us know how far you got; it is really helpful for us in allowing us to gauge where you are. =)
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Your initial set up is correct; you just got a little off when you were trying to solve.
2%28-2+%2B+x%29+=+x+-+1%2F2
Distribute: -4+%2B+2x+=+x+-+1%2F2
Subtract x from both sides: -4+%2B+x+=+-1%2F2
Add 4 to both sides: x+=+4+-+1%2F2
Find a least common denominator: x+=+8%2F2+-+1%2F2
Subtract: x+=+7%2F2
Therefore, the answer is 7%2F2 (as you said).
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I hope this helps!