3(k-2)-2k=5-8(k+7)

Solution for 3(k-2)-2k=5-8(k+7) equation:

Simplifying
3(k + -2) + -2k = 5 + -8(k + 7)

Reorder the terms:
3(-2 + k) + -2k = 5 + -8(k + 7)
(-2 * 3 + k * 3) + -2k = 5 + -8(k + 7)
(-6 + 3k) + -2k = 5 + -8(k + 7)

Combine like terms: 3k + -2k = 1k
-6 + 1k = 5 + -8(k + 7)

Reorder the terms:
-6 + 1k = 5 + -8(7 + k)
-6 + 1k = 5 + (7 * -8 + k * -8)
-6 + 1k = 5 + (-56 + -8k)

Combine like terms: 5 + -56 = -51
-6 + 1k = -51 + -8k

Solving
-6 + 1k = -51 + -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 + 1k + 8k = -51 + -8k + 8k

Combine like terms: 1k + 8k = 9k
-6 + 9k = -51 + -8k + 8k

Combine like terms: -8k + 8k = 0
-6 + 9k = -51 + 0
-6 + 9k = -51

Add '6' to each side of the equation.
-6 + 6 + 9k = -51 + 6

Combine like terms: -6 + 6 = 0
0 + 9k = -51 + 6
9k = -51 + 6

Combine like terms: -51 + 6 = -45
9k = -45

Divide each side by '9'.
k = -5

Simplifying
k = -5