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

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


x in (-oo:+oo)

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

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

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

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

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

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

2*x-4*x-15/2+6 = 0

6-2*x-15/2 = 0

-2*x-3/2 = 0

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

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

-2*x-3/2 = 0

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

-2*x = 3/2 // : -2

x = 3/2/(-2)

x = -3/4

x = -3/4

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