(1-2x)/(3x+4)=-3

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



(1-2x)/(3x+4)=-3
We move all terms to the left:
(1-2x)/(3x+4)-(-3)=0
Domain of the equation: (3x+4)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-4
x!=-4/3
x!=-1+1/3
x∈R
We add all the numbers together, and all the variables
(-2x+1)/(3x+4)-(-3)=0
We add all the numbers together, and all the variables
(-2x+1)/(3x+4)+3=0
We multiply all the terms by the denominator
(-2x+1)+3*(3x+4)=0
We multiply parentheses
(-2x+1)+9x+12=0
We get rid of parentheses
-2x+9x+1+12=0
We add all the numbers together, and all the variables
7x+13=0
We move all terms containing x to the left, all other terms to the right
7x=-13
x=-13/7
x=-1+6/7

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