Solve the following equation:

3 (n – 4) + 2 (4n – 5) = 5 (n + 2) + 16

Given equation: 3 (n – 4) + 2 (4n – 5) = 5 (n + 2) + 16

⇒ 3n – 12 + 8n – 10 = 5n + 10 + 16 (Removing brackets)

3n + 8n – 12 – 10 = 5n + 26

11n – 22 = 5n + 26

⇒ 11n – 5n = 26 + 22 (Transposing 5n to LHS and 22 to

RHS)

6n = 48

⇒ n = (Transposing 6 to RHS)

n = 8

∴ The solution of 3 (n – 4) + 2 (4n – 5) = 5 (n + 2) + 16 is

n = 8.