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

Solution for 5n+2=0.6(5+10n) equation:

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

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

Solving
2 + 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.
2 + 5n + -6n = 3 + 6n + -6n

Combine like terms: 5n + -6n = -1n
2 + -1n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
2 + -1n = 3 + 0
2 + -1n = 3

Add '-2' to each side of the equation.
2 + -2 + -1n = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 3 + -2
-1n = 3 + -2

Combine like terms: 3 + -2 = 1
-1n = 1

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

Simplifying
n = -1