SOLUTION: Solve for x: 3/5(x+2)=x-4 Please solve it and show how you did because I can't remember how to solve it. Thanks.

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Question 757568: Solve for x: 3/5(x+2)=x-4
Please solve it and show how you did because I can't remember how to solve it.
Thanks.
Found 3 solutions by Cromlix, Alan3354, Edwin McCravy:
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
3/5(x+2)=x-4
Multiply out
3/5x + 6/5 = x - 4
Collect like terms
remembering to change signs
as you cross the equal sign.
3/5x - x = -4 - 6/5
(x = 5/5x and -4 = -20/5)
-2/5x = -26/5
Cross multiply
-10x = -130
Divide both sides by -10
x = 13.
Proof:
3/5(x+2)=x-4
3/5(13 + 2) = 13 - 4
3/5(15) = 9
9 = 9 Proved
Hope this helps.
:-)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve for x: 3/5(x+2)=x-4
--------------
Assuming you mean
(3/5)(x+2)=x-4 and not
Multiply by 5 to eliminate fractions
3(x+2)= 5(x-4) = 5x-20
3x + 6 = 5x - 20
2x = 26
x = 13

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
(x + 2) = x - 4

Clear of fractions by multiplying both sides by 5

5[(x + 2)] = 5(x - 4)

Cancel the 5's on the left.  Distribute the 5 on the right:

[(x + 2)] = 5x - 20

3(x + 2) = 5x - 20
  3x + 6 = 5x - 20
     -2x = -26
       x = 13


Checking:

 (x + 2) = x - 4
(13 + 2) = 13 - 4
(15) = 9
 = 9
9 = 9     

      
Edwin
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