8k-6=10(k-1)

Solution for 8k-6=10(k-1) equation:

Simplifying
8k + -6 = 10(k + -1)

Reorder the terms:
-6 + 8k = 10(k + -1)

Reorder the terms:
-6 + 8k = 10(-1 + k)
-6 + 8k = (-1 * 10 + k * 10)
-6 + 8k = (-10 + 10k)

Solving
-6 + 8k = -10 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-6 + 8k + -10k = -10 + 10k + -10k

Combine like terms: 8k + -10k = -2k
-6 + -2k = -10 + 10k + -10k

Combine like terms: 10k + -10k = 0
-6 + -2k = -10 + 0
-6 + -2k = -10

Add '6' to each side of the equation.
-6 + 6 + -2k = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -2k = -10 + 6
-2k = -10 + 6

Combine like terms: -10 + 6 = -4
-2k = -4

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

Simplifying
k = 2