1/2a+4=31/2a-5

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Solution for 1/2a+4=31/2a-5 equation:



1/2a+4=31/2a-5
We move all terms to the left:
1/2a+4-(31/2a-5)=0
Domain of the equation: 2a!=0
a!=0/2
a!=0
a∈R
Domain of the equation: 2a-5)!=0
a∈R
We get rid of parentheses
1/2a-31/2a+5+4=0
We multiply all the terms by the denominator
5*2a+4*2a+1-31=0
We add all the numbers together, and all the variables
5*2a+4*2a-30=0
Wy multiply elements
10a+8a-30=0
We add all the numbers together, and all the variables
18a-30=0
We move all terms containing a to the left, all other terms to the right
18a=30
a=30/18
a=1+2/3

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