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)*(x-(2*x)-(1/3))) // - 9/4-((1/2)*(x-(2*x)-(1/3)))

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

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

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

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

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

28*x-24*x-54-12-4 = 0

4*x-54-12-4 = 0

4*x-54-16 = 0

4*x-70 = 0

(4*x-70)/(2*3*4) = 0

(4*x-70)/(2*3*4) = 0 // * 2*3*4

4*x-70 = 0

4*x-70 = 0 // + 70

4*x = 70 // : 4

x = 70/4

x = 35/2

x = 35/2

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