(5x+6)/10=(4x-8)/6

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Solution for (5x+6)/10=(4x-8)/6 equation: 


x in (-oo:+oo)

(5*x+6)/10 = (4*x-8)/6 // - (4*x-8)/6

(5*x+6)/10-((4*x-8)/6) = 0

(5*x+6)/10+(-1*(4*x-8))/6 = 0

(6*(5*x+6))/(6*10)+(-1*10*(4*x-8))/(6*10) = 0

6*(5*x+6)-1*10*(4*x-8) = 0

116-10*x = 0

(116-10*x)/(6*10) = 0

(116-10*x)/(6*10) = 0 // * 6*10

116-10*x = 0

116-10*x = 0 // - 116

-10*x = -116 // : -10

x = -116/(-10)

x = 58/5

x = 58/5

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