-2(-2k-3)+5k=3(6k-4)

Solution for -2(-2k-3)+5k=3(6k-4) equation:

Simplifying
-2(-2k + -3) + 5k = 3(6k + -4)

Reorder the terms:
-2(-3 + -2k) + 5k = 3(6k + -4)
(-3 * -2 + -2k * -2) + 5k = 3(6k + -4)
(6 + 4k) + 5k = 3(6k + -4)

Combine like terms: 4k + 5k = 9k
6 + 9k = 3(6k + -4)

Reorder the terms:
6 + 9k = 3(-4 + 6k)
6 + 9k = (-4 * 3 + 6k * 3)
6 + 9k = (-12 + 18k)

Solving
6 + 9k = -12 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
6 + 9k + -18k = -12 + 18k + -18k

Combine like terms: 9k + -18k = -9k
6 + -9k = -12 + 18k + -18k

Combine like terms: 18k + -18k = 0
6 + -9k = -12 + 0
6 + -9k = -12

Add '-6' to each side of the equation.
6 + -6 + -9k = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9k = -12 + -6
-9k = -12 + -6

Combine like terms: -12 + -6 = -18
-9k = -18

Divide each side by '-9'.
k = 2

Simplifying
k = 2