6n-2(n+3)=10

Solution for 6n-2(n+3)=10 equation:

Simplifying
6n + -2(n + 3) = 10

Reorder the terms:
6n + -2(3 + n) = 10
6n + (3 * -2 + n * -2) = 10
6n + (-6 + -2n) = 10

Reorder the terms:
-6 + 6n + -2n = 10

Combine like terms: 6n + -2n = 4n
-6 + 4n = 10

Solving
-6 + 4n = 10

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 4n = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 10 + 6
4n = 10 + 6

Combine like terms: 10 + 6 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4