0.4(2n-3)=0.2n

Solution for 0.4(2n-3)=0.2n equation:

Simplifying
0.4(2n + -3) = 0.2n

Reorder the terms:
0.4(-3 + 2n) = 0.2n
(-3 * 0.4 + 2n * 0.4) = 0.2n
(-1.2 + 0.8n) = 0.2n

Solving
-1.2 + 0.8n = 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.
-1.2 + 0.8n + -0.2n = 0.2n + -0.2n

Combine like terms: 0.8n + -0.2n = 0.6n
-1.2 + 0.6n = 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
-1.2 + 0.6n = 0.0

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.6n = 0.0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.6n = 0.0 + 1.2
0.6n = 0.0 + 1.2

Combine like terms: 0.0 + 1.2 = 1.2
0.6n = 1.2

Divide each side by '0.6'.
n = 2

Simplifying
n = 2