solve 2(x-8/4)-(x-8/4)8=2

Question

solve 2(x-8/4)-(x-8/4)⁸=2

Answer 1

Cuing on the tag "simple equations":

 

2((x - 8)/4) - ((x - 8)/4)8 = 2       distribute and reduce

(x - 8)/2 - 2(x - 8) = 2                 distribute

x/2 - 4 - 2x + 16 = 2                   combine

x/2 - 2x + 12 = 2                        subtract 12 from both sides

x/2 - 2x = -10                             multiply both sides by 2

x - 4x = -20                                combine

-3x = -20                                    divide both sides by -3

x = 20/3

 

 

Answer 2

Let's assign a variable to (x-8/4) and call it x

 

Then our equation would be

 

2x - x^8 = 2

 

X^8 - 2x = 2

 

x (x^7 - 2 ) = 2

 

x = 2  & x^7 = 4

 

x = 2 & x = 4 ^ (1/7)

 

(x-2) = 2

 

x = 4 that's one solution

 

x = 4^(1/7) + 2 another solution