.8n+.2=1.2n+.4

Solution for .8n+.2=1.2n+.4 equation:

Simplifying
0.8n + 0.2 = 1.2n + 0.4

Reorder the terms:
0.2 + 0.8n = 1.2n + 0.4

Reorder the terms:
0.2 + 0.8n = 0.4 + 1.2n

Solving
0.2 + 0.8n = 0.4 + 1.2n

Solving for variable 'n'.

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

Add '-1.2n' to each side of the equation.
0.2 + 0.8n + -1.2n = 0.4 + 1.2n + -1.2n

Combine like terms: 0.8n + -1.2n = -0.4n
0.2 + -0.4n = 0.4 + 1.2n + -1.2n

Combine like terms: 1.2n + -1.2n = 0.0
0.2 + -0.4n = 0.4 + 0.0
0.2 + -0.4n = 0.4

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.4n = 0.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4n = 0.4 + -0.2
-0.4n = 0.4 + -0.2

Combine like terms: 0.4 + -0.2 = 0.2
-0.4n = 0.2

Divide each side by '-0.4'.
n = -0.5

Simplifying
n = -0.5