2n+1=4n-1

Solution for 2n+1=4n-1 equation:

Simplifying
2n + 1 = 4n + -1

Reorder the terms:
1 + 2n = 4n + -1

Reorder the terms:
1 + 2n = -1 + 4n

Solving
1 + 2n = -1 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.
1 + 2n + -4n = -1 + 4n + -4n

Combine like terms: 2n + -4n = -2n
1 + -2n = -1 + 4n + -4n

Combine like terms: 4n + -4n = 0
1 + -2n = -1 + 0
1 + -2n = -1

Add '-1' to each side of the equation.
1 + -1 + -2n = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = -1 + -1
-2n = -1 + -1

Combine like terms: -1 + -1 = -2
-2n = -2

Divide each side by '-2'.
n = 1

Simplifying
n = 1