SOLUTION: 7-(3x-1)=5x I worked this out in my head as x=1 but I need to learn how to write down the steps taken to get the answer.

Algebra ->  Equations -> SOLUTION: 7-(3x-1)=5x I worked this out in my head as x=1 but I need to learn how to write down the steps taken to get the answer.      Log On


   



Question 177954: 7-(3x-1)=5x I worked this out in my head as x=1 but I need to learn how to write down the steps taken to get the answer.
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
7-(3x-1)=5x ....given
:
7-3x+1=5x.....distributed -1(3x-1) which equals -3x+1
:
8-3x=5x.....combined like terms on left
:
8x=8.....added 3x to both sides
:
highlight%28x=1%29divided both sides by 8 to isolate the variable x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7-%283x-1%29=5x Start with the given equation


7-3x%2B1=5x Distribute


7%2B1=5x%2B3x Add 3x to both sides.


8=8x Combine like terms.


8%2F8=x Divide both sides by 8 to isolate "x"


1=x Reduce


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Answer:

So the solution is x=1