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Hello from MrBillDoesMath!

  x = 7/10

Discussion:

To eliminate fractions multiply each side by 10:

10 ( 9/5x - 2/5 )  = 10 * ( 8x +3)/10      or

10 * ( 9/5)x - 10 *(2/5)  =   8x + 3  or

9 *2 x - 2*2 = 8x +3   or

18x - 4 = 8x + 3.  Subtract 8x for each side:

18x - 8x - 4 = (8x - 8x) + 3 or

10x -4 =  0x + 3 or

10x -4 = 3 or

10x = 7

x = 7/10

Thank you,

MrB

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

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