2(k-3)+5=3(k-1)

Solution for 2(k-3)+5=3(k-1) equation:

Simplifying
2(k + -3) + 5 = 3(k + -1)

Reorder the terms:
2(-3 + k) + 5 = 3(k + -1)
(-3 * 2 + k * 2) + 5 = 3(k + -1)
(-6 + 2k) + 5 = 3(k + -1)

Reorder the terms:
-6 + 5 + 2k = 3(k + -1)

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

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

Solving
-1 + 2k = -3 + 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.
-1 + 2k + -3k = -3 + 3k + -3k

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

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

Add '1' to each side of the equation.
-1 + 1 + -1k = -3 + 1

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

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

Divide each side by '-1'.
k = 2

Simplifying
k = 2