(3x+5)/(7x-8)=(16/7)

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Solution for (3x+5)/(7x-8)=(16/7) equation: 


D( x )

7*x-8 = 0

7*x-8 = 0

7*x-8 = 0

7*x-8 = 0 // + 8

7*x = 8 // : 7

x = 8/7

x in (-oo:8/7) U (8/7:+oo)

(3*x+5)/(7*x-8) = 16/7 // - 16/7

(3*x+5)/(7*x-8)-(16/7) = 0

(3*x+5)/(7*x-8)-16/7 = 0

(7*(3*x+5))/(7*(7*x-8))+(-16*(7*x-8))/(7*(7*x-8)) = 0

7*(3*x+5)-16*(7*x-8) = 0

163-91*x = 0

(163-91*x)/(7*(7*x-8)) = 0

(163-91*x)/(7*(7*x-8)) = 0 // * 7*(7*x-8)

163-91*x = 0

163-91*x = 0 // - 163

-91*x = -163 // : -91

x = -163/(-91)

x = 163/91

x = 163/91

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