1/4-(3x-1/2)=5/6*(x-4)-1

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Solution for 1/4-(3x-1/2)=5/6*(x-4)-1 equation: 


x in (-oo:+oo)

1/4-(3*x)+1/2 = (5/6)*(x-4)-1 // - (5/6)*(x-4)-1

1/4-((5/6)*(x-4))-(3*x)+1/2+1 = 0

(-5/6)*(x-4)-3*x+1/4+1/2+1 = 0

1/4-5/6*(x-4)-3*x+1/2+1 = 0

(-5/6*2*4*(x-4))/(2*4)+(-3*2*4*x)/(2*4)+(1*2)/(2*4)+(1*4)/(2*4)+(1*2*4)/(2*4) = 0

1*2-5/6*2*4*(x-4)-3*2*4*x+1*4+1*2*4 = 0

2-92/3*x+4+8+80/3 = 0

4-92/3*x+8+86/3 = 0

8-92/3*x+98/3 = 0

122/3-92/3*x = 0

(122/3-92/3*x)/(2*4) = 0

(122/3-92/3*x)/(2*4) = 0 // * 2*4

122/3-92/3*x = 0

122/3-92/3*x = 0 // - 122/3

-92/3*x = -122/3 // : -92/3

x = -122/3/(-92/3)

x = 61/46

x = 61/46

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