6(k+1)=4(2k-2)

Solution for 6(k+1)=4(2k-2) equation:

Simplifying
6(k + 1) = 4(2k + -2)

Reorder the terms:
6(1 + k) = 4(2k + -2)
(1 * 6 + k * 6) = 4(2k + -2)
(6 + 6k) = 4(2k + -2)

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -2k = -8 + -6

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

Combine like terms: -8 + -6 = -14
-2k = -14

Divide each side by '-2'.
k = 7

Simplifying
k = 7