2(k-1)=10(k-2)

Solution for 2(k-1)=10(k-2) equation:

Simplifying
2(k + -1) = 10(k + -2)

Reorder the terms:
2(-1 + k) = 10(k + -2)
(-1 * 2 + k * 2) = 10(k + -2)
(-2 + 2k) = 10(k + -2)

Reorder the terms:
-2 + 2k = 10(-2 + k)
-2 + 2k = (-2 * 10 + k * 10)
-2 + 2k = (-20 + 10k)

Solving
-2 + 2k = -20 + 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.
-2 + 2k + -10k = -20 + 10k + -10k

Combine like terms: 2k + -10k = -8k
-2 + -8k = -20 + 10k + -10k

Combine like terms: 10k + -10k = 0
-2 + -8k = -20 + 0
-2 + -8k = -20

Add '2' to each side of the equation.
-2 + 2 + -8k = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -8k = -20 + 2
-8k = -20 + 2

Combine like terms: -20 + 2 = -18
-8k = -18

Divide each side by '-8'.
k = 2.25

Simplifying
k = 2.25