(3x+14)/4+(x-14)/5=9/2

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Solution for (3x+14)/4+(x-14)/5=9/2 equation: 


x in (-oo:+oo)

(3*x+14)/4+(x-14)/5 = 9/2 // - 9/2

(3*x+14)/4+(x-14)/5-(9/2) = 0

(3*x+14)/4+(x-14)/5-9/2 = 0

(2*5*(3*x+14))/(2*4*5)+(2*4*(x-14))/(2*4*5)+(-9*4*5)/(2*4*5) = 0

2*5*(3*x+14)+2*4*(x-14)-9*4*5 = 0

38*x-180+28 = 0

38*x-152 = 0

(38*x-152)/(2*4*5) = 0

(38*x-152)/(2*4*5) = 0 // * 2*4*5

38*x-152 = 0

38*x-152 = 0 // + 152

38*x = 152 // : 38

x = 152/38

x = 4

x = 4

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