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Verified answer
1) ½ x - 3 = 5½ x = 5 + 3
½ x = 8
x = 8 ÷ ½
x = 8 × 2/1
x = 16
2) 2x - 5 < 11
2x < 11 + 5
2x < 16
x < 8
3) 3(2x + ⅓) = 4 (3x - ½)
6x + 1 = 12x - 2
6x - 12x = - 2 - 1
- 6x = - 3
x = -3/-6
x = 3/6
x = ½
4) ½ ( 2p - 6) >_ ⅔ ( p + 4)
p - 3 >_ ⅔p + 8/3
p - ⅔p >_ 8/3 + 3
⅓p >_ 17/3
p >_ 17/3 ÷ ⅓
p >_ 17/3 × 3/1
p>_ 17
5) 4x - 5 = 12
4x = 12 + 5
x = 17/4