(5x-19)/3+x/6=x/2-1

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Solution for (5x-19)/3+x/6=x/2-1 equation:


x in (-oo:+oo)

(5*x-19)/3+x/6 = x/2-1 // - x/2-1

(5*x-19)/3+x/6-(x/2)+1 = 0

(5*x-19)/3+x/6-x/2+1 = 0

(2*6*(5*x-19))/(2*3*6)+(2*3*x)/(2*3*6)+(3*6*(-x))/(2*3*6)+(1*2*3*6)/(2*3*6) = 0

2*6*(5*x-19)+2*3*x+3*6*(-x)+1*2*3*6 = 0

66*x-18*x-228+36 = 0

48*x-228+36 = 0

48*x-192 = 0

(48*x-192)/(2*3*6) = 0

(48*x-192)/(2*3*6) = 0 // * 2*3*6

48*x-192 = 0

48*x-192 = 0 // + 192

48*x = 192 // : 48

x = 192/48

x = 4

x = 4

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