1. Find, explain, and correct the error in the solution given.

(1) 3x-2/4 +1=5

(2) 3x-2/4 +1-1=5-1

(3) 3x-2/4=4

(4) 3x-2/4+2=4+2

(5) 3x/4=6

(6) 3x/4 4=6 4

(7) 3x = 24

(8) 3x/3=24/3

(9) x = 8

Verified Answer :

  1. (3x-2)/4+1=5
    2. (3x-2)/4+1-1=5-1
    3. (3x-2)/4=4
    4. (3x-2)/4+2=4+2
    5. this is the mistake, wecan't just add them because the fractions aren't the same
    (3x-2)/4 plus 2/1, the bottom numbers areen't the same

    what should be done is go back to step 4 and mltiply both sides by 4, don't add 2
    results in
    5. 3x-2=16
    6. 3x=18
    7. x=6