0.6(n-5)=0.4-0.2(n-7)

Solution for 0.6(n-5)=0.4-0.2(n-7) equation:

Simplifying
0.6(n + -5) = 0.4 + -0.2(n + -7)

Reorder the terms:
0.6(-5 + n) = 0.4 + -0.2(n + -7)
(-5 * 0.6 + n * 0.6) = 0.4 + -0.2(n + -7)
(-3 + 0.6n) = 0.4 + -0.2(n + -7)

Reorder the terms:
-3 + 0.6n = 0.4 + -0.2(-7 + n)
-3 + 0.6n = 0.4 + (-7 * -0.2 + n * -0.2)
-3 + 0.6n = 0.4 + (1.4 + -0.2n)

Combine like terms: 0.4 + 1.4 = 1.8
-3 + 0.6n = 1.8 + -0.2n

Solving
-3 + 0.6n = 1.8 + -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.
-3 + 0.6n + 0.2n = 1.8 + -0.2n + 0.2n

Combine like terms: 0.6n + 0.2n = 0.8n
-3 + 0.8n = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-3 + 0.8n = 1.8 + 0.0
-3 + 0.8n = 1.8

Add '3' to each side of the equation.
-3 + 3 + 0.8n = 1.8 + 3

Combine like terms: -3 + 3 = 0
0 + 0.8n = 1.8 + 3
0.8n = 1.8 + 3

Combine like terms: 1.8 + 3 = 4.8
0.8n = 4.8

Divide each side by '0.8'.
n = 6

Simplifying
n = 6