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

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


x in (-oo:+oo)

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

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

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

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

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

84*x-24*x-72+30 = 0

60*x-42 = 0

(60*x-42)/(2*3*6) = 0

(60*x-42)/(2*3*6) = 0 // * 2*3*6

60*x-42 = 0

60*x-42 = 0 // + 42

60*x = 42 // : 60

x = 42/60

x = 7/10

x = 7/10

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