(x+1)/(8x-12)-(2x-5)/(16x-24)=1/(8x)

Simple and best practice solution for (x+1)/(8x-12)-(2x-5)/(16x-24)=1/(8x) 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)/(8x-12)-(2x-5)/(16x-24)=1/(8x) equation: 



(x+1)/(8x-12)-(2x-5)/(16x-24)=1/(8x)

We move all terms to the left:

(x+1)/(8x-12)-(2x-5)/(16x-24)-(1/(8x))=0



Domain of the equation: (8x-12)!=0

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

8x!=12

x!=12/8

x!=1+1/2

x∈R





Domain of the equation: (16x-24)!=0

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

16x!=24

x!=24/16

x!=1+1/2

x∈R





Domain of the equation: 8x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

(x+1)/(8x-12)-(2x-5)/(16x-24)-(+1/8x)=0

We get rid of parentheses

(x+1)/(8x-12)-(2x-5)/(16x-24)-1/8x=0

We calculate fractions


((x+1)*(16x-24)*8x)/((8x-12)*(16x-24)*8x)+(-(2x-5)*(8x-12)*8x)/((8x-12)*(16x-24)*8x)+(-1*(8x-12)*(16x-24))/((8x-12)*(16x-24)*8x)=0



We calculate terms in parentheses: +((x+1)*(16x-24)*8x)/((8x-12)*(16x-24)*8x), so:

(x+1)*(16x-24)*8x)/((8x-12)*(16x-24)*8x

We multiply all the terms by the denominator


(x+1)*(16x-24)*8x)

Back to the equation:

+((x+1)*(16x-24)*8x))





We calculate terms in parentheses: +(-(2x-5)*(8x-12)*8x)/((8x-12)*(16x-24)*8x), so:

-(2x-5)*(8x-12)*8x)/((8x-12)*(16x-24)*8x

We multiply all the terms by the denominator


-(2x-5)*(8x-12)*8x)

Back to the equation:

+(-(2x-5)*(8x-12)*8x))





We calculate terms in parentheses: +(-1*(8x-12)*(16x-24))/((8x-12)*(16x-24)*8x), so:

-1*(8x-12)*(16x-24))/((8x-12)*(16x-24)*8x

We multiply all the terms by the denominator


-1*(8x-12)*(16x-24))

Back to the equation:

+(-1*(8x-12)*(16x-24)))



We add all the numbers together, and all the variables

((x+1)*(16x-24)*8x))+(-(2x-5)*(8x-12)*8x))+(-1*(8x-12)*(16x=0

See similar equations:

| (2x+4)=(-5x-8) | | –47=b+50 | | 14x-89=3x-11 | | 4y–4=8y+12 | | 13-z=28 | | -2x-4-5x=-60 | | ((x+1)/(8x-12))-((2x-5)/(16x-24))=1/8x | | 17+5(2x-9)=-6x+10+4 | | -4(x-16)=48 | | .5x=3.8×4 | | 18-8x=-5x | | .7(10x+17)=3.9(.2+5) | | 5=9+3w​ | | 2=10(0.95x) | | -2x^2+23=17 | | 2(x+1)+x=3x+4 | | -7x-10-46=0 | | 49n+986-986=-43-986 | | 8x–1=6x–5 | | 12/42=4w/54 | | 19x-41=12x+15 | | 9u=2527 | | 399=21x | | 18-8x=-3-5x | | 528=(2x+20)×(x+20) | | 5n=30.R= | | 2(2x-8)+2(x+3)=38 | | y-0.3=2 | | 37+7x+1=180 | | (x+1)(16x-24)=1 | | 5z+13-2z+15=0 | | –14=z–10 |

Equations solver categories