6(n-1)=12+4(2n-3)

Solution for 6(n-1)=12+4(2n-3) equation:

Simplifying
6(n + -1) = 12 + 4(2n + -3)

Reorder the terms:
6(-1 + n) = 12 + 4(2n + -3)
(-1 * 6 + n * 6) = 12 + 4(2n + -3)
(-6 + 6n) = 12 + 4(2n + -3)

Reorder the terms:
-6 + 6n = 12 + 4(-3 + 2n)
-6 + 6n = 12 + (-3 * 4 + 2n * 4)
-6 + 6n = 12 + (-12 + 8n)

Combine like terms: 12 + -12 = 0
-6 + 6n = 0 + 8n
-6 + 6n = 8n

Solving
-6 + 6n = 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 + 6n + -8n = 8n + -8n

Combine like terms: 6n + -8n = -2n
-6 + -2n = 8n + -8n

Combine like terms: 8n + -8n = 0
-6 + -2n = 0

Add '6' to each side of the equation.
-6 + 6 + -2n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2n = 0 + 6
-2n = 0 + 6

Combine like terms: 0 + 6 = 6
-2n = 6

Divide each side by '-2'.
n = -3

Simplifying
n = -3