(2r+3)/(3r-6)=6

Simple and best practice solution for (2r+3)/(3r-6)=6 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 (2r+3)/(3r-6)=6 equation: 



(2r+3)/(3r-6)=6

We move all terms to the left:

(2r+3)/(3r-6)-(6)=0



Domain of the equation: (3r-6)!=0

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

3r!=6

r!=6/3

r!=2

r∈R



We multiply all the terms by the denominator


(2r+3)-6*(3r-6)=0

We multiply parentheses

(2r+3)-18r+36=0

We get rid of parentheses

2r-18r+3+36=0

We add all the numbers together, and all the variables

-16r+39=0

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

-16r=-39

r=-39/-16

r=2+7/16

See similar equations:

| 4x-12=(x-3)4 | | 4x+9=4(x-7) | | 7(x-1)=-2x+101 | | 4x=4x+10.5 | | 2x-5+3x-2=180 | | {20}{x}=-5 | | -0.99x-1.5x=-9.213 | | 36=n/20 | | 6a-8=4a+62a= | | -(2x-7)-6x=-(2x-7)-6x | | x+30+3x+2(3x+30)=990 | | a-a(.25)-a(.05)=2310.79 | | 180=3x+8x+x | | 8x-2x=52-10 | | 1/2(8x-7)=4x+7 | | x=3+5·2 | | 5/4+4m/9=73/36 | | -8=u/3+1 | | 3x+7=−3x+2+6x | | a-a(.25)-a(.05)=4708.86 | | -4(5n-8)=48 | | 7n=-2 | | 10x-6=7x+4 | | 64p^2-7=9 | | 2(3x+8)=-12+22 | | 9(x+6)+7=-11 | | 24=52+j | | -2+2b-2b=3+3b+4 | | 6(2x-8)=66x | | x/0.8=15 | | 8y+5=2y+23 | | 19=2-(c+5) |

Equations solver categories