(x-6)/(2x+3)=1/4

Simple and best practice solution for (x-6)/(2x+3)=1/4 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-6)/(2x+3)=1/4 equation:



(x-6)/(2x+3)=1/4
We move all terms to the left:
(x-6)/(2x+3)-(1/4)=0
Domain of the equation: (2x+3)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-3
x!=-3/2
x!=-1+1/2
x∈R
We add all the numbers together, and all the variables
(x-6)/(2x+3)-(+1/4)=0
We get rid of parentheses
(x-6)/(2x+3)-1/4=0
We calculate fractions
(4x-24)/(8x+12)+(-1*(2x+3))/(8x+12)=0
We calculate terms in parentheses: +(-1*(2x+3))/(8x+12), so:
-1*(2x+3))/(8x+12
We multiply all the terms by the denominator
-1*(2x+3))+12*(8x
Back to the equation:
+(-1*(2x+3))+12*(8x)
Wy multiply elements
(4x-24)/(8x+12)+(-1*(2x+3))+96x=0
We multiply all the terms by the denominator
(4x-24)+((-1*(2x+3)))*(8x+12)+96x*(8x+12)=0
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We multiply parentheses
768x^2+(4x-24)+((-1*(2x+3)))*(8x+12)+1152x=0
We get rid of parentheses
768x^2+4x+((-1*(2x+3)))*(8x+12)+1152x-24=0
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We add all the numbers together, and all the variables
768x^2+1156x+((-1*(2x+3)))*(8x+12)-24=0
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in parentheses: +((-1*(2x+3)))*(8x+12), so:
(-1*(2x+3)))*(8x+12
We calculate terms in p

See similar equations:

| x-6/2x+3=1/4 | | –9(p−87)=–63 | | 9(4p+2)8=35 | | 60=6(f+3) | | 5d+12=17 | | 3(3x+4)+2(x+3)=40 | | y=102962(2050)–2E+08 | | 5+3n=−8 | | -19x=-15,x | | 29x=50 | | 7(2e−1)−11=6+6e* | | 7x-9+3x-4x=3³ | | 6•x+17=19 | | -4/3n=12 | | 2(3x2-22)+2(9x2+20)=400 | | x=2×-1 | | 8=n-(-15) | | 12-9=2x+16 | | -8=-14-x | | 24x2=384 | | ​5(x+20)=5(x+20)= | | (24-x)-37=49 | | 8x38=-3(-64x | | -42=5(2c=9)-3(c=8) | | 75-(6x+13)=50 | | 3•y=32+7 | | y/4=1/9 | | 12x-9=2x+16 | | 6*(x+12)=432 | | 36=6x-3 | | 50+10*0+2+7=x | | 12/x=84 |

Equations solver categories