(4x+7)/4-(5x-4)/20=5-x/5

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Solution for (4x+7)/4-(5x-4)/20=5-x/5 equation:


x in (-oo:+oo)

(4*x+7)/4-((5*x-4)/20) = 5-(x/5) // - 5-(x/5)

(4*x+7)/4-((5*x-4)/20)+x/5-5 = 0

(4*x+7)/4+(-1*(5*x-4))/20+x/5-5 = 0

(5*20*(4*x+7))/(4*5*20)+(-1*4*5*(5*x-4))/(4*5*20)+(4*20*x)/(4*5*20)+(-5*4*5*20)/(4*5*20) = 0

5*20*(4*x+7)-1*4*5*(5*x-4)+4*20*x-5*4*5*20 = 0

300*x+80*x-2000+780 = 0

380*x-2000+780 = 0

380*x-1220 = 0

(380*x-1220)/(4*5*20) = 0

(380*x-1220)/(4*5*20) = 0 // * 4*5*20

380*x-1220 = 0

380*x-1220 = 0 // + 1220

380*x = 1220 // : 380

x = 1220/380

x = 61/19

x = 61/19

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