2n+1=6n-3

Solution for 2n+1=6n-3 equation:

Simplifying
2n + 1 = 6n + -3

Reorder the terms:
1 + 2n = 6n + -3

Reorder the terms:
1 + 2n = -3 + 6n

Solving
1 + 2n = -3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1 + 2n + -6n = -3 + 6n + -6n

Combine like terms: 2n + -6n = -4n
1 + -4n = -3 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + -4n = -3 + 0
1 + -4n = -3

Add '-1' to each side of the equation.
1 + -1 + -4n = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -4n = -3 + -1
-4n = -3 + -1

Combine like terms: -3 + -1 = -4
-4n = -4

Divide each side by '-4'.
n = 1

Simplifying
n = 1