2n-6=5n-43

Solution for 2n-6=5n-43 equation:

Simplifying
2n + -6 = 5n + -43

Reorder the terms:
-6 + 2n = 5n + -43

Reorder the terms:
-6 + 2n = -43 + 5n

Solving
-6 + 2n = -43 + 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 = -43 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-6 + -3n = -43 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + -3n = -43 + 0
-6 + -3n = -43

Add '6' to each side of the equation.
-6 + 6 + -3n = -43 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = -43 + 6
-3n = -43 + 6

Combine like terms: -43 + 6 = -37
-3n = -37

Divide each side by '-3'.
n = 12.33333333

Simplifying
n = 12.33333333