(x-1)/(4x+7)=1/5

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Solution for (x-1)/(4x+7)=1/5 equation: 


D( x )

4*x+7 = 0

4*x+7 = 0

4*x+7 = 0

4*x+7 = 0 // - 7

4*x = -7 // : 4

x = -7/4

x in (-oo:-7/4) U (-7/4:+oo)

(x-1)/(4*x+7) = 1/5 // - 1/5

(x-1)/(4*x+7)-(1/5) = 0

(x-1)/(4*x+7)-1/5 = 0

(5*(x-1))/(5*(4*x+7))+(-1*(4*x+7))/(5*(4*x+7)) = 0

5*(x-1)-1*(4*x+7) = 0

x-12 = 0

(x-12)/(5*(4*x+7)) = 0

(x-12)/(5*(4*x+7)) = 0 // * 5*(4*x+7)

x-12 = 0

x-12 = 0 // + 12

x = 12

x = 12

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