(x+1)/(x+6)+(2)/x=2x+1/x+1

Simple and best practice solution for (x+1)/(x+6)+(2)/x=2x+1/x+1 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 (x+1)/(x+6)+(2)/x=2x+1/x+1 equation: 



(x+1)/(x+6)+(2)/x=2x+1/x+1

We move all terms to the left:

(x+1)/(x+6)+(2)/x-(2x+1/x+1)=0



Domain of the equation: (x+6)!=0

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

x!=-6

x∈R





Domain of the equation: x!=0

x∈R





Domain of the equation: x+1)!=0

x∈R



We get rid of parentheses

(x+1)/(x+6)+2/x-2x-1/x-1=0

We calculate fractions


-2x+(x^2+x)/(x^2+6x)+(-1*(x+6)+2)/(x^2+6x)-1=0



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

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

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

Back to the equation:

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



We multiply all the terms by the denominator


-2x*(x^2+6x)+(x^2+x)+((6x*(x^2-(1*(x+6))*(x^2+2))-1)*(x^2+6x)=0



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

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



We multiply parentheses

-2x^3-12x^2+(x^2+x)+((6x*(x^2-(1*(x+6))*(x^2+2))-1)*(x^2+6x)=0

We get rid of parentheses

-2x^3-12x^2+x^2+x+((6x*(x^2-(1*(x+6))*(x^2+2))-1)*(x^2+6x)=0



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

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



We do not support expression: x^3

See similar equations:

| (2a+18)+58=180 | | P(X)=6x3+4x2-10 | | (x+1)/(x+6)+(2)/(x)=(2x+1)/(x+1) | | -3(5x+1)=3x | | 64/4a-44=62 | | 64/4a+44=62 | | 3+78x=52×+11 | | A=12+4a | | 2/3(9x-12)=8+2x | | t÷3-7=12 | | 4+91x=52x+10 | | 672=(h+6)(h-2)(h) | | 0=32t-12t^2 | | −8x−20=5x−7 | | (x-5)^2=10 | | b+1=2b-4 | | 1.25p+7=43.25 | | 8x+12=8x+13 | | (5+7)-7c=52 | | 3y+11=50 | | x²-3x-12=0 | | 8x+12=8x+22 | | 1.2^x-0.92^x-5=0 | | 8y=6(8+16) | | 8x+3x-7x-5=11 | | 390=2(15+3x)+2x | | 11x-6=-12 | | 0=1/4x+2 | | x=0.3x-3.4 | | 70=-7(2x+6 | | 3x+9=14x-7 | | -4(w+4)=-2w-6 |

Equations solver categories