4/3(x+6)-5/6x=2x+7/2

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Solution for 4/3(x+6)-5/6x=2x+7/2 equation:


x in (-oo:+oo)

(4/3)*(x+6)-((5/6)*x) = 2*x+7/2 // - 2*x+7/2

(4/3)*(x+6)-((5/6)*x)-(2*x)-(7/2) = 0

(4/3)*(x+6)+(-5/6)*x-2*x-7/2 = 0

4/3*(x+6)+(-5*x)/6-2*x-7/2 = 0

(4/3*2*6*(x+6))/(2*6)+(-5*2*x)/(2*6)+(-2*2*6*x)/(2*6)+(-7*6)/(2*6) = 0

4/3*2*6*(x+6)-5*2*x-2*2*6*x-7*6 = 0

6*x-24*x-42+96 = 0

96-18*x-42 = 0

54-18*x = 0

(54-18*x)/(2*6) = 0

(54-18*x)/(2*6) = 0 // * 2*6

54-18*x = 0

54-18*x = 0 // - 54

-18*x = -54 // : -18

x = -54/(-18)

x = 3

x = 3

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