(x-2)/6-2x+13=37/24-(12+x)/4

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Solution for (x-2)/6-2x+13=37/24-(12+x)/4 equation:


x in (-oo:+oo)

(x-2)/6-(2*x)+13 = 37/24-((x+12)/4) // - 37/24-((x+12)/4)

(x-2)/6+(x+12)/4-(2*x)-(37/24)+13 = 0

(x-2)/6+(x+12)/4-2*x-37/24+13 = 0

(4*24*(x-2))/(4*6*24)+(6*24*(x+12))/(4*6*24)+(-2*4*6*24*x)/(4*6*24)+(-37*4*6)/(4*6*24)+(4*6*13*24)/(4*6*24) = 0

4*24*(x-2)+6*24*(x+12)-2*4*6*24*x-37*4*6+4*6*13*24 = 0

240*x-1152*x-888+1536+7488 = 0

1536-912*x-888+7488 = 0

648-912*x+7488 = 0

8136-912*x = 0

(8136-912*x)/(4*6*24) = 0

(8136-912*x)/(4*6*24) = 0 // * 4*6*24

8136-912*x = 0

8136-912*x = 0 // - 8136

-912*x = -8136 // : -912

x = -8136/(-912)

x = 339/38

x = 339/38

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