Answer:
n=6
Step-by-step explanation:
5n-17=2n+1
Subtract 2n from each side
5n-2n-17=2n-2n+1
3n -17 = 1
Add 17 to each side
3n -17+17 = 1+17
3n = 18
Divide by 3
3n /3 = 18/3
n=6
[tex] \large \sf \star \: \green{Answer }\: \star[/tex]
[tex] \small \sf \fbox{n = 6}[/tex]
[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]
subtract 2n from both side
[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]
[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]
Add 17 to both side
[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]
[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]
Divide 18 by 3
[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]
n = 6
