8x/(2x+1)=8/10

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Solution for 8x/(2x+1)=8/10 equation: 


D( x )

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

x in (-oo:-1/2) U (-1/2:+oo)

(8*x)/(2*x+1) = 8/10 // - 8/10

(8*x)/(2*x+1)-(8/10) = 0

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

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

5*8*x-4*(2*x+1) = 0

32*x-4 = 0

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

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

32*x-4 = 0

32*x-4 = 0 // + 4

32*x = 4 // : 32

x = 4/32

x = 1/8

x = 1/8

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