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

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


x in (-oo:+oo)

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

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

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

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

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

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

49/6-7/12*x = 0

(49/6-7/12*x)/5 = 0

(49/6-7/12*x)/5 = 0 // * 5

49/6-7/12*x = 0

49/6-7/12*x = 0 // - 49/6

-7/12*x = -49/6 // : -7/12

x = -49/6/(-7/12)

x = 14

x = 14

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