2k=3(k-2)+1

Solution for 2k=3(k-2)+1 equation:

Simplifying
2k = 3(k + -2) + 1

Reorder the terms:
2k = 3(-2 + k) + 1
2k = (-2 * 3 + k * 3) + 1
2k = (-6 + 3k) + 1

Reorder the terms:
2k = -6 + 1 + 3k

Combine like terms: -6 + 1 = -5
2k = -5 + 3k

Solving
2k = -5 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
2k + -3k = -5 + 3k + -3k

Combine like terms: 2k + -3k = -1k
-1k = -5 + 3k + -3k

Combine like terms: 3k + -3k = 0
-1k = -5 + 0
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5