1/2x+1/3(19/4-1/4x)=19/2

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Solution for 1/2x+1/3(19/4-1/4x)=19/2 equation:


x in (-oo:+oo)

(1/3)*(19/4-((1/4)*x))+(1/2)*x = 19/2 // - 19/2

(1/3)*(19/4-((1/4)*x))+(1/2)*x-(19/2) = 0

(1/3)*((-1/4)*x+19/4)+(1/2)*x-19/2 = 0

1/3*(19/4-1/4*x)+x/2-19/2 = 0

(1/3*2*(19/4-1/4*x))/2+x/2-19/2 = 0

1/3*2*(19/4-1/4*x)+x-19 = 0

5/6*x-19+19/6 = 0

5/6*x-95/6 = 0

(5/6*x-95/6)/2 = 0

(5/6*x-95/6)/2 = 0 // * 2

5/6*x-95/6 = 0

5/6*x-95/6 = 0 // + 95/6

5/6*x = 95/6 // : 5/6

x = 95/6/5/6

x = 19

x = 19

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