SOLUTION: ok i got 3 questions since there is a daily 4 questions per day. the slash "/" will indicate the fraction dash. *there is no textbook involve* 3x-6/2-x = 3/2 8/z-2 = z+2/

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Cross multiply
2(3x-6) = 3(2-x)
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6x - 12 = 6 - 3x
:
6x + 3x = 6 + 12
;
9x = 18
x =
x = 2, however there is no solution, as x=2 causes division by 0
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Cross multiply
(z-2)*(z+2) = 8 * 4
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FOIL
z^2 + 2z - 2z - 4 = 32
:
z^2 - 4 - 32 = 0
:
z^2 - 36 = 0
The difference of squares factors to:
(z-6)(x+6) = 0
z = +6
z = -6
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Check solutions in original equation
z = 6
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:
z = -6
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-1 = -1