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

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


x in (-oo:+oo)

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

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

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

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

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

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

7*x+2*x-39+3 = 0

9*x-39+3 = 0

9*x-36 = 0

(9*x-36)/(2*3) = 0

(9*x-36)/(2*3) = 0 // * 2*3

9*x-36 = 0

9*x-36 = 0 // + 36

9*x = 36 // : 9

x = 36/9

x = 4

x = 4

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