1/2x-(x+2/3)=1/24(x-5)

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Solution for 1/2x-(x+2/3)=1/24(x-5) equation: 


x in (-oo:+oo)

(1/2)*x-x-(2/3) = (1/24)*(x-5) // - (1/24)*(x-5)

(1/2)*x-((1/24)*(x-5))-x-(2/3) = 0

(-1/24)*(x-5)+(1/2)*x-x-2/3 = 0

x/2-1/24*(x-5)-x-2/3 = 0

(-1/24*2*3*(x-5))/(2*3)+(3*x)/(2*3)+(2*3*(-x))/(2*3)+(-2*2)/(2*3) = 0

3*x-1/24*2*3*(x-5)+2*3*(-x)-2*2 = 0

11/4*x-6*x-4+5/4 = 0

5/4-13/4*x-4 = 0

-13/4*x-11/4 = 0

(-13/4*x-11/4)/(2*3) = 0

(-13/4*x-11/4)/(2*3) = 0 // * 2*3

-13/4*x-11/4 = 0

-13/4*x-11/4 = 0 // + 11/4

-13/4*x = 11/4 // : -13/4

x = 11/4/(-13/4)

x = -11/13

x = -11/13

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