SOLUTION: what is 3a-4/2=5-2a ?

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Question 118997This question is from textbook
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what is 3a-4/2=5-2a ? This question is from textbook

Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3a-4%2F2=5-2a Start with the given equation



%282%29%283a-4%2F2%29=%282%29%285-2a%29 Multiply both sides by the LCM of 2. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



6a-4=10-4a Distribute and multiply the LCM to each side



6a=10-4a%2B4Add 4 to both sides


6a%2B4a=10%2B4 Add 4a to both sides


10a=10%2B4 Combine like terms on the left side


10a=14 Combine like terms on the right side


a=%2814%29%2F%2810%29 Divide both sides by 10 to isolate a



a=7%2F5 Reduce

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Answer:
So our answer is a=7%2F5 (which is approximately a=1.4 in decimal form)


Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
3A-4/2=5-2A
3A-2=5-2A
3A+2A=5+2
5A=7
A=7/5 ANSWER.
PROOF.
3*7/5-4/2=5-2*7/5
21/5-2=5-14/5
(21-2*5)/5=(5*5-14)/5
(21-10)/5=(25-14)/5
11/5=11/5