109/24+33/4x=1/4+1/3(x-5/2)

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Solution for 109/24+33/4x=1/4+1/3(x-5/2) equation:


x in (-oo:+oo)

(33/4)*x+109/24 = (1/3)*(x-(5/2))+1/4 // - (1/3)*(x-(5/2))+1/4

(33/4)*x-((1/3)*(x-(5/2)))+109/24-(1/4) = 0

(-1/3)*(x-5/2)+(33/4)*x+109/24-1/4 = 0

(33*x)/4-1/3*(x-5/2)+109/24-1/4 = 0

(-1/3*4*24*(x-5/2))/(4*24)+(24*33*x)/(4*24)+(4*109)/(4*24)+(-1*24)/(4*24) = 0

24*33*x-1/3*4*24*(x-5/2)+4*109-1*24 = 0

760*x-24+80+436 = 0

760*x-24+516 = 0

760*x+492 = 0

(760*x+492)/(4*24) = 0

(760*x+492)/(4*24) = 0 // * 4*24

760*x+492 = 0

760*x+492 = 0 // - 492

760*x = -492 // : 760

x = -492/760

x = -123/190

x = -123/190

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