(3x+14)/(4x-3)=2

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Solution for (3x+14)/(4x-3)=2 equation:



(3x+14)/(4x-3)=2
We move all terms to the left:
(3x+14)/(4x-3)-(2)=0
Domain of the equation: (4x-3)!=0
We move all terms containing x to the left, all other terms to the right
4x!=3
x!=3/4
x!=3/4
x∈R
We multiply all the terms by the denominator
(3x+14)-2*(4x-3)=0
We multiply parentheses
(3x+14)-8x+6=0
We get rid of parentheses
3x-8x+14+6=0
We add all the numbers together, and all the variables
-5x+20=0
We move all terms containing x to the left, all other terms to the right
-5x=-20
x=-20/-5
x=+4

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