1/2(2x-7)-1/3x=4/3x-5

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Solution for 1/2(2x-7)-1/3x=4/3x-5 equation:


x in (-oo:+oo)

(1/2)*(2*x-7)-((1/3)*x) = (4/3)*x-5 // - (4/3)*x-5

(1/2)*(2*x-7)-((1/3)*x)-((4/3)*x)+5 = 0

(1/2)*(2*x-7)+(-1/3)*x+(-4/3)*x+5 = 0

1/2*(2*x-7)-x/3+(-4*x)/3+5 = 0

(1/2*3*(2*x-7))/3-x/3+(-4*x)/3+(3*5)/3 = 0

1/2*3*(2*x-7)-x-4*x+3*5 = 0

2*x-4*x-21/2+15 = 0

15-2*x-21/2 = 0

9/2-2*x = 0

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

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

9/2-2*x = 0

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

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

x = -9/2/(-2)

x = 9/4

x = 9/4

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