Question 266661: 100=-(x-1)+4(x-6)
100=-x+-1+4x+-24
100=3x+-25?
I'm lost on this one? Found 2 solutions by unlockmath, Edwin McCravy:Answer by unlockmath(1688) (Show Source):
You can put this solution on YOUR website! Hello,
You are good so far except for one mistake in the second step. It would be two negatives in front of 1 to make it a positive 1. Here's the next step. (Hint: we want the x all alone on one side of the equal sign)
100=-(x-1)+4(x-6)
100=-x+1+4x-24 now combine like terms to get:
100=3x+-23 Now we add 23 to both sides to give us:
123=3x Divide both sides by 3 to get:
x=41
Make sense?
RJ
Hey-I wrote a book about the basics that might help:
www.math-unlock.com
100 = -(x - 1) + 4(x - 6)
put a -1 where the negative sign is just before the
first parentheses on the left
Use the distributive principle to remove the parentheses:
100 = -1(x + -1) + 4(x + -6)
100 = -1*x + -1*-1 + 4*x + 4*-6
100 = -1*x + 1 + 4*x + -24
Rearrange the terms omn the right
to get like terms together:
100 = -1*x + 4*x + 1 + -24
Use the distributive principle in reverse to
put the x on the outside of parentheses:
100 = (-1 + 4)*x + -23
Combine the numbers in the parentheses
100 = (3)*x + -23
100 = 3*x + -23
Add +23 to both sides
100 + 23 = 3*x + -23 + 23
123 = 3*x + 0
123 = 3*x
Divide both sides by 3
So the solution is x=41.
Edwin
