3(k+4)=12k-6

Solution for 3(k+4)=12k-6 equation:

Simplifying
3(k + 4) = 12k + -6

Reorder the terms:
3(4 + k) = 12k + -6
(4 * 3 + k * 3) = 12k + -6
(12 + 3k) = 12k + -6

Reorder the terms:
12 + 3k = -6 + 12k

Solving
12 + 3k = -6 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
12 + 3k + -12k = -6 + 12k + -12k

Combine like terms: 3k + -12k = -9k
12 + -9k = -6 + 12k + -12k

Combine like terms: 12k + -12k = 0
12 + -9k = -6 + 0
12 + -9k = -6

Add '-12' to each side of the equation.
12 + -12 + -9k = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -9k = -6 + -12
-9k = -6 + -12

Combine like terms: -6 + -12 = -18
-9k = -18

Divide each side by '-9'.
k = 2

Simplifying
k = 2