0.1(n+76)=0.5n

Solution for 0.1(n+76)=0.5n equation:

Simplifying
0.1(n + 76) = 0.5n

Reorder the terms:
0.1(76 + n) = 0.5n
(76 * 0.1 + n * 0.1) = 0.5n
(7.6 + 0.1n) = 0.5n

Solving
7.6 + 0.1n = 0.5n

Solving for variable 'n'.

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

Add '-0.5n' to each side of the equation.
7.6 + 0.1n + -0.5n = 0.5n + -0.5n

Combine like terms: 0.1n + -0.5n = -0.4n
7.6 + -0.4n = 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
7.6 + -0.4n = 0.0

Add '-7.6' to each side of the equation.
7.6 + -7.6 + -0.4n = 0.0 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + -0.4n = 0.0 + -7.6
-0.4n = 0.0 + -7.6

Combine like terms: 0.0 + -7.6 = -7.6
-0.4n = -7.6

Divide each side by '-0.4'.
n = 19

Simplifying
n = 19