5x/3-(x-2)/4=9/4-1/2(x+(-2x-1)/3)

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Solution for 5x/3-(x-2)/4=9/4-1/2(x+(-2x-1)/3) equation:


x in (-oo:+oo)

(5*x)/3-((x-2)/4) = 9/4-((1/2)*((-2*x-1)/3+x)) // - 9/4-((1/2)*((-2*x-1)/3+x))

(1/2)*((-2*x-1)/3+x)-((x-2)/4)+(5*x)/3-(9/4) = 0

(1/2)*((-2*x-1)/3+x)-((x-2)/4)+(5*x)/3-9/4 = 0

(-1*(x-2))/4+1/2*((-2*x-1)/3+x)+(5*x)/3-9/4 = 0

(-1*3*(x-2))/(3*4)+(1/2*3*4*((-2*x-1)/3+x))/(3*4)+(4*5*x)/(3*4)+(-9*3)/(3*4) = 0

1/2*3*4*((-2*x-1)/3+x)-1*3*(x-2)+4*5*x-9*3 = 0

20*x-x-27+4 = 0

19*x-27+4 = 0

19*x-23 = 0

(19*x-23)/(3*4) = 0

(19*x-23)/(3*4) = 0 // * 3*4

19*x-23 = 0

19*x-23 = 0 // + 23

19*x = 23 // : 19

x = 23/19

x = 23/19

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