1/(3x-2)=4

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Solution for 1/(3x-2)=4 equation:



1/(3x-2)=4
We move all terms to the left:
1/(3x-2)-(4)=0
Domain of the equation: (3x-2)!=0
We move all terms containing x to the left, all other terms to the right
3x!=2
x!=2/3
x!=2/3
x∈R
We multiply all the terms by the denominator
-4*(3x-2)+1=0
We multiply parentheses
-12x+8+1=0
We add all the numbers together, and all the variables
-12x+9=0
We move all terms containing x to the left, all other terms to the right
-12x=-9
x=-9/-12
x=3/4

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