Answer:
A: 6
Step-by-step explanation:
Our equation is 5x+12=6(x+1)
Our possible numbers are 6, 5, 24, or 7.
To figure this out you start putting the possible numbers in place of x so we'll start off using 6:
5*6+12=6(6+1).
5*6=30. 30+12=42. 6+1=7, 6*7=42.
This equals the same on both sides.
Next we'll go to 5:
5*5+12=6(5+1)
5*5=25, 25+12=37. 5+1=6, 6*6=36.
This doesn't equal the same amount on both sides.
Next is 24:
5*24+12=6(24+1)
5*24=120, 120+12=132. 24+1=25, 6*25=150
This doesn't equal the same amount.
Next is 7:
5*7+12=6(7+1)
5*7=35, 35+12=47. 7+1=8, 6*8=48.
This doesn't equal.
The only number that equals the same amount on both sides is A:6
