SOLUTION: {{{(2/3x)+(1/4)=(11/6x)-(1/3)}}} Whats the value for x?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(2/3x)+(1/4)=(11/6x)-(1/3)}}} Whats the value for x?      Log On


   

Question 353008: %282%2F3x%29%2B%281%2F4%29=%2811%2F6x%29-%281%2F3%29
Whats the value for x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3x%29%2B%281%2F4%29=%2811%2F6x%29-%281%2F3%29 Start with the given expression.


8%2B3x=22-4x Multiply EVERY term by the LCD 12x to clear out the fractions.


3x=22-4x-8 Subtract 8 from both sides.


3x%2B4x=22-8 Add 4x to both sides.


7x=22-8 Combine like terms on the left side.


7x=14 Combine like terms on the right side.


x=%2814%29%2F%287%29 Divide both sides by 7 to isolate x.


x=2 Reduce.


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Answer:

So the solution is x=2