Solution:
Given equation is:
6x + 5 = 12 + 5x
Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution
Substitute x = 4
6(4) + 5 = 12 + 5(4)
24 +5 = 12 + 20
[tex]29 \neq 32[/tex]
Thus 4 is not a solution
Substitute x = 5
6(5) + 5 = 12 + 5(5)
30 + 5 = 12 + 25
[tex]35\neq 37[/tex]
Thus 5 is not a solution
Substitute x = 6
6(6) + 5 = 12 + 5(6)
36 + 5 = 12 + 30
[tex]41\neq 42[/tex]
Thus 6 is not a solution
Substitute x = 7
6(7) + 5 = 12 + 5(7)
42 + 5 = 12 + 35
47 = 47
Thus 6 is a solution