1.12n+0.2=0.52n-0.4

Solution for 1.12n+0.2=0.52n-0.4 equation:

Simplifying
1.12n + 0.2 = 0.52n + -0.4

Reorder the terms:
0.2 + 1.12n = 0.52n + -0.4

Reorder the terms:
0.2 + 1.12n = -0.4 + 0.52n

Solving
0.2 + 1.12n = -0.4 + 0.52n

Solving for variable 'n'.

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

Add '-0.52n' to each side of the equation.
0.2 + 1.12n + -0.52n = -0.4 + 0.52n + -0.52n

Combine like terms: 1.12n + -0.52n = 0.6n
0.2 + 0.6n = -0.4 + 0.52n + -0.52n

Combine like terms: 0.52n + -0.52n = 0.00
0.2 + 0.6n = -0.4 + 0.00
0.2 + 0.6n = -0.4

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.6n = -0.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.6n = -0.4 + -0.2
0.6n = -0.4 + -0.2

Combine like terms: -0.4 + -0.2 = -0.6
0.6n = -0.6

Divide each side by '0.6'.
n = -1

Simplifying
n = -1