3(2k-2)=2(4k-11)

Solution for 3(2k-2)=2(4k-11) equation:

Simplifying
3(2k + -2) = 2(4k + -11)

Reorder the terms:
3(-2 + 2k) = 2(4k + -11)
(-2 * 3 + 2k * 3) = 2(4k + -11)
(-6 + 6k) = 2(4k + -11)

Reorder the terms:
-6 + 6k = 2(-11 + 4k)
-6 + 6k = (-11 * 2 + 4k * 2)
-6 + 6k = (-22 + 8k)

Solving
-6 + 6k = -22 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-6 + 6k + -8k = -22 + 8k + -8k

Combine like terms: 6k + -8k = -2k
-6 + -2k = -22 + 8k + -8k

Combine like terms: 8k + -8k = 0
-6 + -2k = -22 + 0
-6 + -2k = -22

Add '6' to each side of the equation.
-6 + 6 + -2k = -22 + 6

Combine like terms: -6 + 6 = 0
0 + -2k = -22 + 6
-2k = -22 + 6

Combine like terms: -22 + 6 = -16
-2k = -16

Divide each side by '-2'.
k = 8

Simplifying
k = 8