5/(2x+6)=32/(4x+8)

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Solution for 5/(2x+6)=32/(4x+8) equation: 


D( x )

2*x+6 = 0

4*x+8 = 0

2*x+6 = 0

2*x+6 = 0

2*x+6 = 0 // - 6

2*x = -6 // : 2

x = -6/2

x = -3

4*x+8 = 0

4*x+8 = 0

4*x+8 = 0 // - 8

4*x = -8 // : 4

x = -8/4

x = -2

x in (-oo:-3) U (-3:-2) U (-2:+oo)

5/(2*x+6) = 32/(4*x+8) // - 32/(4*x+8)

5/(2*x+6)-(32/(4*x+8)) = 0

5/(2*x+6)-32*(4*x+8)^-1 = 0

5/(2*x+6)-32/(4*x+8) = 0

(5*(4*x+8))/((2*x+6)*(4*x+8))+(-32*(2*x+6))/((2*x+6)*(4*x+8)) = 0

5*(4*x+8)-32*(2*x+6) = 0

-44*x-152 = 0

(-44*x-152)/((2*x+6)*(4*x+8)) = 0

(-44*x-152)/((2*x+6)*(4*x+8)) = 0 // * (2*x+6)*(4*x+8)

-44*x-152 = 0

-44*x-152 = 0 // + 152

-44*x = 152 // : -44

x = 152/(-44)

x = -38/11

x = -38/11

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