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

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


x in (-oo:+oo)

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

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

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

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

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

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

15/2*x+3*x-3/2+6 = 0

21/2*x-3/2+6 = 0

21/2*x+9/2 = 0

(21/2*x+9/2)/5 = 0

(21/2*x+9/2)/5 = 0 // * 5

21/2*x+9/2 = 0

21/2*x+9/2 = 0 // - 9/2

21/2*x = -9/2 // : 21/2

x = -9/2/21/2

x = -3/7

x = -3/7

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