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(5x-3)/(5x+3)=11/14
We move all terms to the left:
(5x-3)/(5x+3)-(11/14)=0
Domain of the equation: (5x+3)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
5x!=-3
x!=-3/5
x!=-3/5
x∈R
(5x-3)/(5x+3)-(+11/14)=0
We get rid of parentheses
(5x-3)/(5x+3)-11/14=0
We calculate fractions
(70x-42)/(70x+42)+(-55x-33)/(70x+42)=0
We multiply all the terms by the denominator
(70x-42)+(-55x-33)=0
We get rid of parentheses
70x-55x-42-33=0
We add all the numbers together, and all the variables
15x-75=0
We move all terms containing x to the left, all other terms to the right
15x=75
x=75/15
x=5
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