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

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



(x-1)/(2x+3)=1/3
We move all terms to the left:
(x-1)/(2x+3)-(1/3)=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-1)/(2x+3)-(+1/3)=0
We get rid of parentheses
(x-1)/(2x+3)-1/3=0
We calculate fractions
(3x-3)/(6x+9)+(-1*(2x+3))/(6x+9)=0
We calculate terms in parentheses: +(-1*(2x+3))/(6x+9), so:
-1*(2x+3))/(6x+9
We multiply all the terms by the denominator
-1*(2x+3))+9*(6x
Back to the equation:
+(-1*(2x+3))+9*(6x)
Wy multiply elements
(3x-3)/(6x+9)+(-1*(2x+3))+54x=0
We multiply all the terms by the denominator
(3x-3)+((-1*(2x+3)))*(6x+9)+54x*(6x+9)=0
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We multiply parentheses
324x^2+(3x-3)+((-1*(2x+3)))*(6x+9)+486x=0
We get rid of parentheses
324x^2+3x+((-1*(2x+3)))*(6x+9)+486x-3=0
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We add all the numbers together, and all the variables
324x^2+489x+((-1*(2x+3)))*(6x+9)-3=0
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9
We calculate terms in parentheses: +((-1*(2x+3)))*(6x+9), so:
(-1*(2x+3)))*(6x+9

See similar equations:

| 7x+6=4×+8 | | 7x-5=2-5× | | Y+3=2x-1 | | -2x^2+4=3x | | -7(7x-8)=-49x=56 | | X²+12x-18=4x²+12x-9 | | 3(8–3t)=5(2+t) | | 7x=30=180 | | 2x=30=180 | | |x|-16=10 | | 2x+37=73 | | 8(10-5)=2k | | 4(32x+2)-x=2x=18 | | (2)x+19=x+29 | | k+k+k+k=+18 | | (Y+1)²=6(x+5) | | 53x+5372x-637=783 | | 3=2y-8 | | 6x+7(-3)=4x+4(4) | | x/7+1=5/7 | | X+9=2y-5 | | 7u=-3u+10 | | -6y+24+5y=21 | | 15u-11u=12 | | 5(x+6)+175=350 | | 6x+10-10x+10=180 | | (9x+5)=(6x-8) | | 12j-5j=14 | | -8x-2=26 | | 5u2+7u+8=0 | | 11/3x-4=5/3x+8 | | 7p-3=22 |

Equations solver categories