(2/3)k-(k-(1/2))=(1/6)(k-51)

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Solution for (2/3)k-(k-(1/2))=(1/6)(k-51) equation: 


k in (-oo:+oo)

(2/3)*k-k+1/2 = (1/6)*(k-51) // - (1/6)*(k-51)

(2/3)*k-((1/6)*(k-51))-k+1/2 = 0

(-1/6)*(k-51)+(2/3)*k-k+1/2 = 0

(2*k)/3-1/6*(k-51)-k+1/2 = 0

(-1/6*2*3*(k-51))/(2*3)+(2*2*k)/(2*3)+(2*3*(-k))/(2*3)+(1*3)/(2*3) = 0

2*2*k-1/6*2*3*(k-51)+2*3*(-k)+1*3 = 0

3*k-6*k+3+51 = 0

3-3*k+51 = 0

54-3*k = 0

(54-3*k)/(2*3) = 0

(54-3*k)/(2*3) = 0 // * 2*3

54-3*k = 0

54-3*k = 0 // - 54

-3*k = -54 // : -3

k = -54/(-3)

k = 18

k = 18

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