SOLUTION: Ok, so the problem started as 7/2x+1/2x=3x+3/2+5/2x. The goal of the problem is to clear the fractions and solve for x. When I cleared the fractions I came up with: 7x+1x=3x+3+5

Algebra ->  Equations -> SOLUTION: Ok, so the problem started as 7/2x+1/2x=3x+3/2+5/2x. The goal of the problem is to clear the fractions and solve for x. When I cleared the fractions I came up with: 7x+1x=3x+3+5      Log On


   

Question 200399This question is from textbook
: Ok, so the problem started as 7/2x+1/2x=3x+3/2+5/2x. The goal of the problem is to clear the fractions and solve for x. When I cleared the fractions I came up with:
7x+1x=3x+3+5x I started to combine like terms and came up with:
8x=8x+3
Now I am stuck.
Thanks! This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2F2%29x%2B%281%2F2%29x=3x%2B3%2F2%2B%285%2F2%29x Start with the given equation.


Multiply both sides by the LCD 2 to clear any fractions.


7x%2Bx=6x%2B3%2B5x Multiply and simplify.


8x=6x%2B3%2B5x Combine like terms on the left side.


8x=11x%2B3 Combine like terms on the right side.


8x-11x=3 Subtract 11x from both sides.


-3x=3 Combine like terms on the left side.


x=%283%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=-1 Reduce.


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Answer:

So the solution is x=-1