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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -2k = -6 + 6 + 3k

Combine like terms: -6 + 6 = 0
0 + -2k = -6 + 6 + 3k
-2k = -6 + 6 + 3k

Combine like terms: -6 + 6 = 0
-2k = 0 + 3k
-2k = 3k

Solving
-2k = 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 = 3k + -3k

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

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

Divide each side by '-5'.
k = 0

Simplifying
k = 0