(-5/(x-6))=(7/(4x-24))+2

Simple and best practice solution for (-5/(x-6))=(7/(4x-24))+2 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 (-5/(x-6))=(7/(4x-24))+2 equation: 


D( x )

x-6 = 0

4*x-24 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

4*x-24 = 0

4*x-24 = 0

4*x-24 = 0 // + 24

4*x = 24 // : 4

x = 24/4

x = 6

x in (-oo:6) U (6:+oo)

-5/(x-6) = 7/(4*x-24)+2 // - 7/(4*x-24)+2

-5/(x-6)-(7/(4*x-24))-2 = 0

-5/(x-6)-7*(4*x-24)^-1-2 = 0

-5/(x-6)-7/(4*x-24)-2 = 0

(-5*(4*x-24))/((x-6)*(4*x-24))+(-7*(x-6))/((x-6)*(4*x-24))+(-2*(x-6)*(4*x-24))/((x-6)*(4*x-24)) = 0

-5*(4*x-24)-7*(x-6)-2*(x-6)*(4*x-24) = 0

96*x-8*x^2-27*x-288+162 = 0

69*x-8*x^2-126 = 0

69*x-8*x^2-126 = 0

69*x-8*x^2-126 = 0

DELTA = 69^2-(-126*(-8)*4)

DELTA = 729

DELTA > 0

x = (729^(1/2)-69)/(-8*2) or x = (-729^(1/2)-69)/(-8*2)

x = 21/8 or x = 6

(x-21/8)*(x-6) = 0

((x-21/8)*(x-6))/((x-6)*(4*x-24)) = 0

((x-21/8)*(x-6))/((x-6)*(4*x-24)) = 0 // * (x-6)*(4*x-24)

(x-21/8)*(x-6) = 0

( x-21/8 )

x-21/8 = 0 // + 21/8

x = 21/8

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 6} 

x = 21/8

See similar equations:

| 2x+40=5(x+8)-3x | | -5/x-6=(7/4x-24)+2 | | 6(x-9)=3(-10-2x) | | (x-2)(1/x+1/2) | | 4(a-8)+2(3a-9)=7a-7a | | x^2(x+3)+2(x+3)= | | 2(x+8)=28 | | 3x+21=180 | | 5(x-1)=1 | | 7(x-7)=28 | | x^2+37-9x=25 | | 3(x+2)=x+38 | | 6x^4-10x^3+3x^2= | | 4(x-5)=-6 | | x+(37-9x)^1/2=5 | | y=5/6x+6 | | y=5x/6+6 | | -20=8(x-7)+2(4x+2) | | 26+5y-1=16y-11-2y | | z/-7-12=-2 | | 3(2)/(3)*(6)/(7)= | | 2(y+17)=3y | | 2x^2+6x-263=0 | | -10(9+3x)+9(-4x-2)=24 | | 40+3(-3-2)= | | 2x+4+2y-4=6 | | 2x-14=6-3x | | 9x+12+5x-10=94 | | 40+3(x-2)= | | 14+n=-9(n-3)-3 | | 0=-16x^2+48x+160 | | -3(3y+-9)+2(2y+5)= |

Equations solver categories