3(k-2)=2(k+8)

Solution for 3(k-2)=2(k+8) equation:

Simplifying
3(k + -2) = 2(k + 8)

Reorder the terms:
3(-2 + k) = 2(k + 8)
(-2 * 3 + k * 3) = 2(k + 8)
(-6 + 3k) = 2(k + 8)

Reorder the terms:
-6 + 3k = 2(8 + k)
-6 + 3k = (8 * 2 + k * 2)
-6 + 3k = (16 + 2k)

Solving
-6 + 3k = 16 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-6 + 3k + -2k = 16 + 2k + -2k

Combine like terms: 3k + -2k = 1k
-6 + 1k = 16 + 2k + -2k

Combine like terms: 2k + -2k = 0
-6 + 1k = 16 + 0
-6 + 1k = 16

Add '6' to each side of the equation.
-6 + 6 + 1k = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 1k = 16 + 6
1k = 16 + 6

Combine like terms: 16 + 6 = 22
1k = 22

Divide each side by '1'.
k = 22

Simplifying
k = 22