2(7n+3)=6n-2(n-5)

Solution for 2(7n+3)=6n-2(n-5) equation:

Simplifying
2(7n + 3) = 6n + -2(n + -5)

Reorder the terms:
2(3 + 7n) = 6n + -2(n + -5)
(3 * 2 + 7n * 2) = 6n + -2(n + -5)
(6 + 14n) = 6n + -2(n + -5)

Reorder the terms:
6 + 14n = 6n + -2(-5 + n)
6 + 14n = 6n + (-5 * -2 + n * -2)
6 + 14n = 6n + (10 + -2n)

Reorder the terms:
6 + 14n = 10 + 6n + -2n

Combine like terms: 6n + -2n = 4n
6 + 14n = 10 + 4n

Solving
6 + 14n = 10 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 14n + -4n = 10 + 4n + -4n

Combine like terms: 14n + -4n = 10n
6 + 10n = 10 + 4n + -4n

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

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

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

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

Divide each side by '10'.
n = 0.4

Simplifying
n = 0.4