2/(3x-1)+3/(3x+1)=5/3x

Simple and best practice solution for 2/(3x-1)+3/(3x+1)=5/3x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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



2/(3x-1)+3/(3x+1)=5/3x

We move all terms to the left:

2/(3x-1)+3/(3x+1)-(5/3x)=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





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





Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(18x^2+6x)/((3x-1)*(3x+1)*3x)+(27x^2-9x)/((3x-1)*(3x+1)*3x)+(-5*(3x-1)*(3x+1))/((3x-1)*(3x+1)*3x)=0



We calculate terms in parentheses: +(18x^2+6x)/((3x-1)*(3x+1)*3x), so:

18x^2+6x)/((3x-1)*(3x+1)*3x

We multiply all the terms by the denominator


18x^2*((3x-1)*(3x+1)*3x+6x)

Back to the equation:

+(18x^2*((3x-1)*(3x+1)*3x+6x))





We calculate terms in parentheses: +(27x^2-9x)/((3x-1)*(3x+1)*3x), so:

27x^2-9x)/((3x-1)*(3x+1)*3x

We multiply all the terms by the denominator


27x^2*((3x-1)*(3x+1)*3x-9x)

Back to the equation:

+(27x^2*((3x-1)*(3x+1)*3x-9x))





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))/((3x-1)*(3x+1)*3x), so:

-5*(3x-1)*(3x+1))/((3x-1)*(3x+1)*3x

We multiply all the terms by the denominator


-5*(3x-1)*(3x+1))

Back to the equation:

+(-5*(3x-1)*(3x+1)))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate terms in parentheses: +(18x^2*((3x-1)*(3x+1)*3x+6x)), so:

18x^2*((3x-1)*(3x+1)*3x+6x)





We calculate terms in parentheses: +(27x^2*((3x-1)*(3x+1)*3x-9x)), so:

27x^2*((3x-1)*(3x+1)*3x-9x)





We calculate terms in parentheses: +(-5*(3x-1)*(3x+1))), so:

-5*(3x-1)*(3x+1))





We calculate

See similar equations:

| (4a-4)=48 | | 36=12k | | (5b-3)=62 | | p+7.18=68.54 | | (3x+6)=5 | | 9f+7=8f−5+4f | | 10x-Y=-30 | | 8c-2=-9+7 | | m/3-4m/3+3=8-3m/2 | | (10x+65)=28 | | 2/3x+1=37 | | -10-6r=4-4r | | 5.8n+3=29.8 | | 9x-(4x+x)=24 | | 7w-6=5(w-6)+2w | | 7^x=46 | | 79+u=65u= | | 9v=10v-4 | | 8x+8x=122 | | 10c=5c-10 | | 3a-2(2a-5)-2(a+3)=8 | | 15=1.5tt= | | -3.7+y=15.5 | | 8v-9=-41 | | 14=-1.2(8x+12) | | ⅓s=7 | | 15x+16=50 | | 4s-2=6s | | 8+3x+7=15+2x+x | | 30(q-2)+2=5q-7-2q | | -9+7k=6k | | 10n+3=-7 |

Equations solver categories