3(5k-11)=12k+6

Solution for 3(5k-11)=12k+6 equation:

Simplifying
3(5k + -11) = 12k + 6

Reorder the terms:
3(-11 + 5k) = 12k + 6
(-11 * 3 + 5k * 3) = 12k + 6
(-33 + 15k) = 12k + 6

Reorder the terms:
-33 + 15k = 6 + 12k

Solving
-33 + 15k = 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.
-33 + 15k + -12k = 6 + 12k + -12k

Combine like terms: 15k + -12k = 3k
-33 + 3k = 6 + 12k + -12k

Combine like terms: 12k + -12k = 0
-33 + 3k = 6 + 0
-33 + 3k = 6

Add '33' to each side of the equation.
-33 + 33 + 3k = 6 + 33

Combine like terms: -33 + 33 = 0
0 + 3k = 6 + 33
3k = 6 + 33

Combine like terms: 6 + 33 = 39
3k = 39

Divide each side by '3'.
k = 13

Simplifying
k = 13