Question 118997

{{{3a-4/2=5-2a}}} Start with the given equation




{{{(2)(3a-4/2)=(2)(5-2a)}}} 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 <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




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




{{{6a=10-4a+4}}}Add 4 to both sides



{{{6a+4a=10+4}}} Add 4a to both sides



{{{10a=10+4}}} Combine like terms on the left side



{{{10a=14}}} Combine like terms on the right side



{{{a=(14)/(10)}}} Divide both sides by 10 to isolate a




{{{a=7/5}}} Reduce


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Answer:

So our answer is {{{a=7/5}}}  (which is approximately {{{a=1.4}}} in decimal form)