3(x+2)/3+2(4x-8)/5=8(2x-6)/6

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Solution for 3(x+2)/3+2(4x-8)/5=8(2x-6)/6 equation:


x in (-oo:+oo)

(3*(x+2))/3+(2*(4*x-8))/5 = (8*(2*x-6))/6 // - (8*(2*x-6))/6

(3*(x+2))/3+(2*(4*x-8))/5-((8*(2*x-6))/6) = 0

(3*(x+2))/3+(2*(4*x-8))/5+(-4/3)*(2*x-6) = 0

(2*(4*x-8))/5-4/3*(2*x-6)+x+2 = 0

(5*(x+2))/5+(2*(4*x-8))/5+(-4/3*5*(2*x-6))/5 = 0

5*(x+2)+2*(4*x-8)-4/3*5*(2*x-6) = 0

13*x-40/3*x-6+40 = 0

34-1/3*x = 0

(34-1/3*x)/5 = 0

(34-1/3*x)/5 = 0 // * 5

34-1/3*x = 0

34-1/3*x = 0 // - 34

-1/3*x = -34 // : -1/3

x = -34/(-1/3)

x = 102

x = 102

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