3x/(4x-1)=14/8

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Solution for 3x/(4x-1)=14/8 equation: 


D( x )

4*x-1 = 0

4*x-1 = 0

4*x-1 = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

x in (-oo:1/4) U (1/4:+oo)

(3*x)/(4*x-1) = 14/8 // - 14/8

(3*x)/(4*x-1)-(14/8) = 0

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

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

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

7-16*x = 0

(7-16*x)/(4*(4*x-1)) = 0

(7-16*x)/(4*(4*x-1)) = 0 // * 4*(4*x-1)

7-16*x = 0

7-16*x = 0 // - 7

-16*x = -7 // : -16

x = -7/(-16)

x = 7/16

x = 7/16

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