3x/(2x-5)=2/7

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Solution for 3x/(2x-5)=2/7 equation:



3x/(2x-5)=2/7
We move all terms to the left:
3x/(2x-5)-(2/7)=0
Domain of the equation: (2x-5)!=0
We move all terms containing x to the left, all other terms to the right
2x!=5
x!=5/2
x!=2+1/2
x∈R
We add all the numbers together, and all the variables
3x/(2x-5)-(+2/7)=0
We get rid of parentheses
3x/(2x-5)-2/7=0
We calculate fractions
21x/(14x-35)+(-4x+10)/(14x-35)=0
We multiply all the terms by the denominator
21x+(-4x+10)=0
We get rid of parentheses
21x-4x+10=0
We add all the numbers together, and all the variables
17x+10=0
We move all terms containing x to the left, all other terms to the right
17x=-10
x=-10/17
x=-10/17

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