5.3n-0.32=3.2n+1.78

Solution for 5.3n-0.32=3.2n+1.78 equation:

Simplifying
5.3n + -0.32 = 3.2n + 1.78

Reorder the terms:
-0.32 + 5.3n = 3.2n + 1.78

Reorder the terms:
-0.32 + 5.3n = 1.78 + 3.2n

Solving
-0.32 + 5.3n = 1.78 + 3.2n

Solving for variable 'n'.

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

Add '-3.2n' to each side of the equation.
-0.32 + 5.3n + -3.2n = 1.78 + 3.2n + -3.2n

Combine like terms: 5.3n + -3.2n = 2.1n
-0.32 + 2.1n = 1.78 + 3.2n + -3.2n

Combine like terms: 3.2n + -3.2n = 0.0
-0.32 + 2.1n = 1.78 + 0.0
-0.32 + 2.1n = 1.78

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 2.1n = 1.78 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 2.1n = 1.78 + 0.32
2.1n = 1.78 + 0.32

Combine like terms: 1.78 + 0.32 = 2.1
2.1n = 2.1

Divide each side by '2.1'.
n = 1

Simplifying
n = 1