(6a+7)/(2a-1)=4/3

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Solution for (6a+7)/(2a-1)=4/3 equation:



(6a+7)/(2a-1)=4/3
We move all terms to the left:
(6a+7)/(2a-1)-(4/3)=0
Domain of the equation: (2a-1)!=0
We move all terms containing a to the left, all other terms to the right
2a!=1
a!=1/2
a!=1/2
a∈R
We add all the numbers together, and all the variables
(6a+7)/(2a-1)-(+4/3)=0
We get rid of parentheses
(6a+7)/(2a-1)-4/3=0
We calculate fractions
(18a+21)/(6a-3)+(-8a+4)/(6a-3)=0
We multiply all the terms by the denominator
(18a+21)+(-8a+4)=0
We get rid of parentheses
18a-8a+21+4=0
We add all the numbers together, and all the variables
10a+25=0
We move all terms containing a to the left, all other terms to the right
10a=-25
a=-25/10
a=-2+1/2

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