2/3(5k-3)+1=5/6-7k/4

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Solution for 2/3(5k-3)+1=5/6-7k/4 equation:


k in (-oo:+oo)

(2/3)*(5*k-3)+1 = 5/6-((7*k)/4) // - 5/6-((7*k)/4)

(2/3)*(5*k-3)+(7*k)/4-(5/6)+1 = 0

(2/3)*(5*k-3)+(7*k)/4-5/6+1 = 0

2/3*(5*k-3)+(7*k)/4-5/6+1 = 0

(2/3*4*6*(5*k-3))/(4*6)+(6*7*k)/(4*6)+(-5*4)/(4*6)+(1*4*6)/(4*6) = 0

2/3*4*6*(5*k-3)+6*7*k-5*4+1*4*6 = 0

122*k-48-20+24 = 0

122*k-68+24 = 0

122*k-44 = 0

(122*k-44)/(4*6) = 0

(122*k-44)/(4*6) = 0 // * 4*6

122*k-44 = 0

122*k-44 = 0 // + 44

122*k = 44 // : 122

k = 44/122

k = 22/61

k = 22/61

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