0.3(n-5)=0.4-0.2(n+7)

Solution for 0.3(n-5)=0.4-0.2(n+7) equation:

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

Reorder the terms:
0.3(-5 + n) = 0.4 + -0.2(n + 7)
(-5 * 0.3 + n * 0.3) = 0.4 + -0.2(n + 7)
(-1.5 + 0.3n) = 0.4 + -0.2(n + 7)

Reorder the terms:
-1.5 + 0.3n = 0.4 + -0.2(7 + n)
-1.5 + 0.3n = 0.4 + (7 * -0.2 + n * -0.2)
-1.5 + 0.3n = 0.4 + (-1.4 + -0.2n)

Combine like terms: 0.4 + -1.4 = -1
-1.5 + 0.3n = -1 + -0.2n

Solving
-1.5 + 0.3n = -1 + -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 = -1 + -0.2n + 0.2n

Combine like terms: 0.3n + 0.2n = 0.5n
-1.5 + 0.5n = -1 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-1.5 + 0.5n = -1 + 0.0
-1.5 + 0.5n = -1

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5n = -1 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5n = -1 + 1.5
0.5n = -1 + 1.5

Combine like terms: -1 + 1.5 = 0.5
0.5n = 0.5

Divide each side by '0.5'.
n = 1

Simplifying
n = 1