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

Simple and best practice solution for 7/(x+1)=(2x+4)/(3x-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 7/(x+1)=(2x+4)/(3x-3) equation:


D( x )

3*x-3 = 0

x+1 = 0

3*x-3 = 0

3*x-3 = 0

3*x-3 = 0 // + 3

3*x = 3 // : 3

x = 3/3

x = 1

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:1) U (1:+oo)

7/(x+1) = (2*x+4)/(3*x-3) // - (2*x+4)/(3*x-3)

7/(x+1)-((2*x+4)/(3*x-3)) = 0

7/(x+1)+(-1*(2*x+4))/(3*x-3) = 0

(7*(3*x-3))/((x+1)*(3*x-3))+(-1*(2*x+4)*(x+1))/((x+1)*(3*x-3)) = 0

7*(3*x-3)-1*(2*x+4)*(x+1) = 0

15*x-2*x^2-25 = 0

15*x-2*x^2-25 = 0

15*x-2*x^2-25 = 0

DELTA = 15^2-(-25*(-2)*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-15)/(-2*2) or x = (-25^(1/2)-15)/(-2*2)

x = 5/2 or x = 5

(x-5/2)*(x-5) = 0

((x-5/2)*(x-5))/((x+1)*(3*x-3)) = 0

((x-5/2)*(x-5))/((x+1)*(3*x-3)) = 0 // * (x+1)*(3*x-3)

(x-5/2)*(x-5) = 0

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 5/2, 5 }

See similar equations:

| 5x-x-38=10 | | 7f=3f-28 | | 21=4k-15 | | n=122/39 | | .5x+x=-x+25 | | .66n+6=.25n-3 | | 2x^2+8/5x-6 | | 10x-54=16 | | 4e+2r+10e= | | 5a+3b=2a+7b | | 32/5*b=11/5 | | 19+x+(2x)=40 | | 4+2x+4x-4=180 | | c=49+20 | | 1/3x+4=7 | | c-2+c= | | 5(x-3)-2=-5(-3x+4)-x | | -9x=10 | | 2/3y-6=-2 | | 1+2x-(x+1)=3x-6 | | y^2+10y+21= | | 10+x/4=3x/4 | | 5/11*121 | | 2a^2+36=18a | | -x+2y=17 | | -6x=-4-(x+1) | | x^3=3a^2x-2a^3 | | 10-6z+(8+7z)= | | 5/11*n=55 | | 30+156=105 | | 3.3x-5.5y-4.1=0 | | 3/5m+1/4=m-1/5 |

Equations solver categories