SOLUTION: Help me please! {{{7/8 + 2a/12 = 3a/4 + 1/3}}} I will be very grateful f you would help me. I am solving for the variable. Th variable is "A". THANKYOU!

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Help me please! {{{7/8 + 2a/12 = 3a/4 + 1/3}}} I will be very grateful f you would help me. I am solving for the variable. Th variable is "A". THANKYOU!      Log On

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Question 526643: Help me please! 7%2F8+%2B+2a%2F12+=+3a%2F4+%2B+1%2F3 I will be very grateful f you would help me. I am solving for the variable. Th variable is "A". THANKYOU!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7%2F8%2B2a%2F12=3a%2F4%2B1%2F3 Start with the given equation.


24%287%2Fcross%288%29%2B2a%2Fcross%2812%29%29=24%283a%2Fcross%284%29%2B1%2Fcross%283%29%29 Multiply both sides by the LCD 24 to clear any fractions.


21%2B4a=18a%2B8 Distribute and multiply.


4a=18a%2B8-21 Subtract 21 from both sides.


4a-18a=8-21 Subtract 18a from both sides.


-14a=8-21 Combine like terms on the left side.


-14a=-13 Combine like terms on the right side.


a=%28-13%29%2F%28-14%29 Divide both sides by -14 to isolate a.


a=13%2F14 Reduce.


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Answer:

So the solution is a=13%2F14

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