-12+8k=k+2(5k-3)

Solution for -12+8k=k+2(5k-3) equation:

Simplifying
-12 + 8k = k + 2(5k + -3)

Reorder the terms:
-12 + 8k = k + 2(-3 + 5k)
-12 + 8k = k + (-3 * 2 + 5k * 2)
-12 + 8k = k + (-6 + 10k)

Reorder the terms:
-12 + 8k = -6 + k + 10k

Combine like terms: k + 10k = 11k
-12 + 8k = -6 + 11k

Solving
-12 + 8k = -6 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
-12 + 8k + -11k = -6 + 11k + -11k

Combine like terms: 8k + -11k = -3k
-12 + -3k = -6 + 11k + -11k

Combine like terms: 11k + -11k = 0
-12 + -3k = -6 + 0
-12 + -3k = -6

Add '12' to each side of the equation.
-12 + 12 + -3k = -6 + 12

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

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

Divide each side by '-3'.
k = -2

Simplifying
k = -2