SOLUTION: 500=.75x-(750+.25x) solve the whole equation but please provide steps.

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Question 891997: 500=.75x-(750+.25x) solve the whole equation but please provide steps.
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
500=.75x-(750+.25x)
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Multiply thru by 4 to eliminate fractions
2000 = 3x - (3000 + x)
2000 = 3x + (-1)(3000 + x)
Distribute the -1
2000 = 3x - 3000 - x
Add 3000
5000 = 3x - x
5000 = 2x
x = 2500

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
500%22%22=%22%22.75x-%28750%2B.25x%29

Remove the parentheses of -(750+.25x) by changing the signs of
both terms inside the parenthese, getting -750-.25x:

500%22%22=%22%22.75x-750-.25x

Combine the terms .75x and -.25x as .50x

500%22%22=%22%22.50x-750

Get rid of the -750 by adding +750 to both sides

500%2B750%22%22=%22%22.50x-750%2B750

Combine 500+750 and get 1250 on the left, and cancel -750 and +750 on the right.

1250%22%22=%22%22.50x

Divide both sides by .50

1250%2F.50%22%22=%22%22.50x%2F.50

divide on the left, cancel .50's on the right

2500%22%22=%22%22x

Solution: 2500

Edwin