4+5n-10=3n+6

Solution for 4+5n-10=3n+6 equation:

Simplifying
4 + 5n + -10 = 3n + 6

Reorder the terms:
4 + -10 + 5n = 3n + 6

Combine like terms: 4 + -10 = -6
-6 + 5n = 3n + 6

Reorder the terms:
-6 + 5n = 6 + 3n

Solving
-6 + 5n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 5n + -3n = 6 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
-6 + 2n = 6 + 0
-6 + 2n = 6

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

Combine like terms: -6 + 6 = 0
0 + 2n = 6 + 6
2n = 6 + 6

Combine like terms: 6 + 6 = 12
2n = 12

Divide each side by '2'.
n = 6

Simplifying
n = 6