(4x+1)/3-(7x-12)/2+(3x-8)/4=(9x-114)/6

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Solution for (4x+1)/3-(7x-12)/2+(3x-8)/4=(9x-114)/6 equation:


x in (-oo:+oo)

(4*x+1)/3-((7*x-12)/2)+(3*x-8)/4 = (9*x-114)/6 // - (9*x-114)/6

(4*x+1)/3-((7*x-12)/2)+(3*x-8)/4-((9*x-114)/6) = 0

(4*x+1)/3+(-1*(7*x-12))/2+(3*x-8)/4+(-1*(9*x-114))/6 = 0

(2*4*6*(4*x+1))/(2*3*4*6)+(-1*3*4*6*(7*x-12))/(2*3*4*6)+(2*3*6*(3*x-8))/(2*3*4*6)+(-1*2*3*4*(9*x-114))/(2*3*4*6) = 0

2*4*6*(4*x+1)-1*3*4*6*(7*x-12)+2*3*6*(3*x-8)-1*2*3*4*(9*x-114) = 0

108*x-312*x-216*x-288+912+2736 = 0

624-204*x-216*x+2736 = 0

3360-420*x = 0

(3360-420*x)/(2*3*4*6) = 0

(3360-420*x)/(2*3*4*6) = 0 // * 2*3*4*6

3360-420*x = 0

3360-420*x = 0 // - 3360

-420*x = -3360 // : -420

x = -3360/(-420)

x = 8

x = 8

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