2n+6=0.2n-3

Solution for 2n+6=0.2n-3 equation:

Simplifying
2n + 6 = 0.2n + -3

Reorder the terms:
6 + 2n = 0.2n + -3

Reorder the terms:
6 + 2n = -3 + 0.2n

Solving
6 + 2n = -3 + 0.2n

Solving for variable 'n'.

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

Add '-0.2n' to each side of the equation.
6 + 2n + -0.2n = -3 + 0.2n + -0.2n

Combine like terms: 2n + -0.2n = 1.8n
6 + 1.8n = -3 + 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
6 + 1.8n = -3 + 0.0
6 + 1.8n = -3

Add '-6' to each side of the equation.
6 + -6 + 1.8n = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 1.8n = -3 + -6
1.8n = -3 + -6

Combine like terms: -3 + -6 = -9
1.8n = -9

Divide each side by '1.8'.
n = -5

Simplifying
n = -5