SOLUTION: solve a-8/12=2a+5/3

Question 387165: solve a-8/12=2a+5/3
Found 2 solutions by stanbon, gwendolyn:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve a-8/12=2a+5/3
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Subtract a from both sides:
a = -5/3-8/12
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a = -20/12 - 8/12
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a = -28/12
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a = -7/3
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Cheers,
Stan H.

Answer by gwendolyn(128) (Show Source): You can put this solution on YOUR website!
To make this simpler, I'll just multiply all the terms by 12. 12 is the least common denominator between the two fractions, and making all numbers whole makes solving equations far easier.
12a-8=24a+20
Then, we can add 8 to both sides of the equation to combine it with the 20.
12a-8+8=24a+20+8
12a=24a+28
Next, we can subtract 24a from both sides of the equation.
12a-24a=24a+28-24a
-12a=28
Finally, we can divide both sides by negative 12 to isolate the variable.

a=-2 1/3
If we plug this solution into the equation, we get:
36=36
This is true, therefore our answer is right.
'a' equals negative 2 and one third.

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