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

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


x in (-oo:+oo)

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

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

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

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

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

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

3-3*x-4+3 = 0

6-3*x-4 = 0

2-3*x = 0

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

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

2-3*x = 0

2-3*x = 0 // - 2

-3*x = -2 // : -3

x = -2/(-3)

x = 2/3

x = 2/3

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