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

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


x in (-oo:+oo)

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

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

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

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

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

14*x-12*x-27-8-2 = 0

2*x-27-8-2 = 0

2*x-27-10 = 0

2*x-37 = 0

(2*x-37)/(3*4) = 0

(2*x-37)/(3*4) = 0 // * 3*4

2*x-37 = 0

2*x-37 = 0 // + 37

2*x = 37 // : 2

x = 37/2

x = 37/2

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