6/(2x-3)=4

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Solution for 6/(2x-3)=4 equation: 



6/(2x-3)=4

We move all terms to the left:

6/(2x-3)-(4)=0



Domain of the equation: (2x-3)!=0

We move all terms containing x to the left, all other terms to the right

2x!=3

x!=3/2

x!=1+1/2

x∈R



We multiply all the terms by the denominator


-4*(2x-3)+6=0

We multiply parentheses

-8x+12+6=0

We add all the numbers together, and all the variables

-8x+18=0

We move all terms containing x to the left, all other terms to the right

-8x=-18

x=-18/-8

x=2+1/4

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