2n-6=5n+24

Solution for 2n-6=5n+24 equation:

Simplifying
2n + -6 = 5n + 24

Reorder the terms:
-6 + 2n = 5n + 24

Reorder the terms:
-6 + 2n = 24 + 5n

Solving
-6 + 2n = 24 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-6 + 2n + -5n = 24 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-6 + -3n = 24 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + -3n = 24 + 0
-6 + -3n = 24

Add '6' to each side of the equation.
-6 + 6 + -3n = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = 24 + 6
-3n = 24 + 6

Combine like terms: 24 + 6 = 30
-3n = 30

Divide each side by '-3'.
n = -10

Simplifying
n = -10