5(n+2)=.6(5+10n)

Solution for 5(n+2)=.6(5+10n) equation:

Simplifying
5(n + 2) = 0.6(5 + 10n)

Reorder the terms:
5(2 + n) = 0.6(5 + 10n)
(2 * 5 + n * 5) = 0.6(5 + 10n)
(10 + 5n) = 0.6(5 + 10n)
10 + 5n = (5 * 0.6 + 10n * 0.6)
10 + 5n = (3 + 6n)

Solving
10 + 5n = 3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
10 + 5n + -6n = 3 + 6n + -6n

Combine like terms: 5n + -6n = -1n
10 + -1n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
10 + -1n = 3 + 0
10 + -1n = 3

Add '-10' to each side of the equation.
10 + -10 + -1n = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 3 + -10
-1n = 3 + -10

Combine like terms: 3 + -10 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7