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

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


x in (-oo:+oo)

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

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

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

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

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

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

9/2*x-2*x-12-21/2+15 = 0

5/2*x-12-21/2+15 = 0

5/2*x-45/2+15 = 0

5/2*x-15/2 = 0

(5/2*x-15/2)/3 = 0

(5/2*x-15/2)/3 = 0 // * 3

5/2*x-15/2 = 0

5/2*x-15/2 = 0 // + 15/2

5/2*x = 15/2 // : 5/2

x = 15/2/5/2

x = 3

x = 3

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