-0.2(n+0.5)=0.3(n+10)

Solution for -0.2(n+0.5)=0.3(n+10) equation:

Simplifying
-0.2(n + 0.5) = 0.3(n + 10)

Reorder the terms:
-0.2(0.5 + n) = 0.3(n + 10)
(0.5 * -0.2 + n * -0.2) = 0.3(n + 10)
(-0.1 + -0.2n) = 0.3(n + 10)

Reorder the terms:
-0.1 + -0.2n = 0.3(10 + n)
-0.1 + -0.2n = (10 * 0.3 + n * 0.3)
-0.1 + -0.2n = (3 + 0.3n)

Solving
-0.1 + -0.2n = 3 + 0.3n

Solving for variable 'n'.

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

Add '-0.3n' to each side of the equation.
-0.1 + -0.2n + -0.3n = 3 + 0.3n + -0.3n

Combine like terms: -0.2n + -0.3n = -0.5n
-0.1 + -0.5n = 3 + 0.3n + -0.3n

Combine like terms: 0.3n + -0.3n = 0.0
-0.1 + -0.5n = 3 + 0.0
-0.1 + -0.5n = 3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.5n = 3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.5n = 3 + 0.1
-0.5n = 3 + 0.1

Combine like terms: 3 + 0.1 = 3.1
-0.5n = 3.1

Divide each side by '-0.5'.
n = -6.2

Simplifying
n = -6.2