a-2/3-5(a-3)/8=2a+6/4

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Solution for a-2/3-5(a-3)/8=2a+6/4 equation:


a in (-oo:+oo)

a-((5*(a-3))/8)-(2/3) = 2*a+6/4 // - 2*a+6/4

a-((5*(a-3))/8)-(2*a)-(2/3)-(6/4) = 0

(-5/8)*(a-3)+a-2*a-2/3-3/2 = 0

a-5/8*(a-3)-2*a-2/3-3/2 = 0

(-5/8*2*3*(a-3))/(2*3)+(2*3*a)/(2*3)+(-2*2*3*a)/(2*3)+(-2*2)/(2*3)+(-3*3)/(2*3) = 0

2*3*a-5/8*2*3*(a-3)-2*2*3*a-2*2-3*3 = 0

9/4*a-12*a-9-4+45/4 = 0

45/4-39/4*a-9-4 = 0

29/4-39/4*a-9 = 0

-39/4*a-7/4 = 0

(-39/4*a-7/4)/(2*3) = 0

(-39/4*a-7/4)/(2*3) = 0 // * 2*3

-39/4*a-7/4 = 0

-39/4*a-7/4 = 0 // + 7/4

-39/4*a = 7/4 // : -39/4

a = 7/4/(-39/4)

a = -7/39

a = -7/39

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