SOLUTION: can someone please help me with this: (x+3)/4= 2-((x+4)/3)

Algebra ->  Algebra  -> Equations -> SOLUTION: can someone please help me with this: (x+3)/4= 2-((x+4)/3)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 337814: can someone please help me with this: (x+3)/4= 2-((x+4)/3)
Answer by jim_thompson5910(28510) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B3%29%2F4=+2-%28x%2B4%29%2F3 Start with the given equation.


3%28x%2B3%29=+24-4%28x%2B4%29 Multiply every term by the LCD 12 to clear out the fractions.


3x%2B9=24-4x-16 Distribute.


3x%2B9=-4x%2B8 Combine like terms on the right side.


3x=-4x%2B8-9 Subtract 9 from both sides.


3x%2B4x=8-9 Add 4x to both sides.


7x=8-9 Combine like terms on the left side.


7x=-1 Combine like terms on the right side.


x=%28-1%29%2F%287%29 Divide both sides by 7 to isolate x.


----------------------------------------------------------------------

Answer:

So the solution is x=-1%2F7 which approximates to x=-0.143.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim