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So you have:

(x - 5)/7 = x - 23 (multiply both sides by 7)

x - 5 = 7x - 161 (subtract x and add 161 to both sides)

156 = 6x (divide both sides by 6)

x = 26

Mistakes (below):

5 - x = subtract x from 5, but we want to subtract 5 from x.

the answer/7 = 23 less than x = subtract 23 from x = x - 23

if you tried to ask 5-x=__/7= 23 the answer is 166

5-x=__/7=23

first you would multiply 7 x 23 which is 161

5-x=161

second you would add 5 on both sides since you are subtracting in the problem

5+5-x=161+5

third you add 161 and 5 together and you would get 166

so x=166

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