12(n-.5)=8(n+.75)

Solution for 12(n-.5)=8(n+.75) equation:

Simplifying
12(n + -0.5) = 8(n + 0.75)

Reorder the terms:
12(-0.5 + n) = 8(n + 0.75)
(-0.5 * 12 + n * 12) = 8(n + 0.75)
(-6 + 12n) = 8(n + 0.75)

Reorder the terms:
-6 + 12n = 8(0.75 + n)
-6 + 12n = (0.75 * 8 + n * 8)
-6 + 12n = (6 + 8n)

Solving
-6 + 12n = 6 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-6 + 12n + -8n = 6 + 8n + -8n

Combine like terms: 12n + -8n = 4n
-6 + 4n = 6 + 8n + -8n

Combine like terms: 8n + -8n = 0
-6 + 4n = 6 + 0
-6 + 4n = 6

Add '6' to each side of the equation.
-6 + 6 + 4n = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 6 + 6
4n = 6 + 6

Combine like terms: 6 + 6 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3