3x/(1-4x)=-4

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



3x/(1-4x)=-4
We move all terms to the left:
3x/(1-4x)-(-4)=0
Domain of the equation: (1-4x)!=0
We move all terms containing x to the left, all other terms to the right
-4x!=-1
x!=-1/-4
x!=1/4
x∈R
We add all the numbers together, and all the variables
3x/(-4x+1)-(-4)=0
We add all the numbers together, and all the variables
3x/(-4x+1)+4=0
We multiply all the terms by the denominator
3x+4*(-4x+1)=0
We multiply parentheses
3x-16x+4=0
We add all the numbers together, and all the variables
-13x+4=0
We move all terms containing x to the left, all other terms to the right
-13x=-4
x=-4/-13
x=4/13

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