SOLUTION: I can't figure out how to solve this. I am currently learning about Linear Functions. 2x+1/3 = 2x-1/2 Solve for X. PLEASE HELP!

Algebra ->  Linear-equations -> SOLUTION: I can't figure out how to solve this. I am currently learning about Linear Functions. 2x+1/3 = 2x-1/2 Solve for X. PLEASE HELP!      Log On


   

Question 219124: I can't figure out how to solve this. I am currently learning about Linear Functions.
2x+1/3 = 2x-1/2 Solve for X.
PLEASE HELP!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation 2x%2B1%2F3=2x-1%2F2 ???

2x%2B1%2F3=2x-1%2F2 Start with the given equation.


6%282x%2B1%2Fcross%283%29%29=6%282x-1%2Fcross%282%29%29 Multiply both sides by the LCD 6 to clear any fractions.


12x%2B2=12x-3 Distribute and multiply.


12x=12x-3-2 Subtract 2 from both sides.


12x-12x=-3-2 Subtract 12x from both sides.


0x=-3-2 Combine like terms on the left side.


0x=-5 Combine like terms on the right side.


0=-5 Simplify.


Since this equation is never true for any x value, this means that there are no solutions.

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OR...


Is the equation %282x%2B1%29%2F3=%282x-1%29%2F2 ???


%282x%2B1%29%2F3=%282x-1%29%2F2 Start with the given equation.


2%282x%2B1%29=3%282x-1%29 Cross multiply.


4x%2B2=6x-3 Distribute.


4x=6x-3-2 Subtract 2 from both sides.


4x-6x=-3-2 Subtract 6x from both sides.


-2x=-3-2 Combine like terms on the left side.


-2x=-5 Combine like terms on the right side.


x=%28-5%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=5%2F2 Reduce.


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Answer:

So the solution is x=5%2F2 which in decimal form is x=2.5.