x/3-(3x-7)/5=(x-2)/6

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Solution for x/3-(3x-7)/5=(x-2)/6 equation: 


x in (-oo:+oo)

x/3-((3*x-7)/5) = (x-2)/6 // - (x-2)/6

x/3-((3*x-7)/5)-((x-2)/6) = 0

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

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

5*6*x-1*3*6*(3*x-7)-1*3*5*(x-2) = 0

30*x-69*x+156 = 0

156-39*x = 0

(156-39*x)/(3*5*6) = 0

(156-39*x)/(3*5*6) = 0 // * 3*5*6

156-39*x = 0

156-39*x = 0 // - 156

-39*x = -156 // : -39

x = -156/(-39)

x = 4

x = 4

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