Question

the product of 8 and a number , increased by 52, is equivalent to the product of 12 and the sum of the number and 2 . find the number

Answer 1

8n+52=12(n+2)

distribute

8n+52 = 12n+24

subtract 8n from each side

52=4n +24

subtract 24 from each side

28 = 4n

divide by 4 on each side

7=n