(5-2x)/(3x-1)=6/7

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Solution for (5-2x)/(3x-1)=6/7 equation: 



(5-2x)/(3x-1)=6/7

We move all terms to the left:

(5-2x)/(3x-1)-(6/7)=0



Domain of the equation: (3x-1)!=0

We move all terms containing x to the left, all other terms to the right

3x!=1

x!=1/3

x!=1/3

x∈R



We add all the numbers together, and all the variables

(-2x+5)/(3x-1)-(+6/7)=0

We get rid of parentheses

(-2x+5)/(3x-1)-6/7=0

We calculate fractions


(-14x+35)/(21x-7)+(-18x+6)/(21x-7)=0

We multiply all the terms by the denominator


(-14x+35)+(-18x+6)=0

We get rid of parentheses

-14x-18x+35+6=0

We add all the numbers together, and all the variables

-32x+41=0

We move all terms containing x to the left, all other terms to the right

-32x=-41

x=-41/-32

x=1+9/32

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