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

Solution for 0.3(n-5)=0.6-0.2(n-7) equation:

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

Reorder the terms:
0.3(-5 + n) = 0.6 + -0.2(n + -7)
(-5 * 0.3 + n * 0.3) = 0.6 + -0.2(n + -7)
(-1.5 + 0.3n) = 0.6 + -0.2(n + -7)

Reorder the terms:
-1.5 + 0.3n = 0.6 + -0.2(-7 + n)
-1.5 + 0.3n = 0.6 + (-7 * -0.2 + n * -0.2)
-1.5 + 0.3n = 0.6 + (1.4 + -0.2n)

Combine like terms: 0.6 + 1.4 = 2
-1.5 + 0.3n = 2 + -0.2n

Solving
-1.5 + 0.3n = 2 + -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.
-1.5 + 0.3n + 0.2n = 2 + -0.2n + 0.2n

Combine like terms: 0.3n + 0.2n = 0.5n
-1.5 + 0.5n = 2 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-1.5 + 0.5n = 2 + 0.0
-1.5 + 0.5n = 2

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5n = 2 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5n = 2 + 1.5
0.5n = 2 + 1.5

Combine like terms: 2 + 1.5 = 3.5
0.5n = 3.5

Divide each side by '0.5'.
n = 7

Simplifying
n = 7