What is 2 (n-1) + 4n=2 (3n-1)

Infinite solutions

Step-by-step explanation:

Distribute the 2 to (n - 1), and distribute the 2 to (3n - 1), like so:

2 (n - 1) + 4n = 2 (3n - 1)

2n - 2 + 4n = 6n - 2

Add like terms (2n and 4n):

6n - 2 = 6n - 2

Subtract 6n from both sides:

-2 = - 2

Since we ended up with the same term on both sides, we can't do anything else, meaning this equation has infinite solutions.