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

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

Simplifying
5k + -1(k + 2) = -3(2k + -4)

Reorder the terms:
5k + -1(2 + k) = -3(2k + -4)
5k + (2 * -1 + k * -1) = -3(2k + -4)
5k + (-2 + -1k) = -3(2k + -4)

Reorder the terms:
-2 + 5k + -1k = -3(2k + -4)

Combine like terms: 5k + -1k = 4k
-2 + 4k = -3(2k + -4)

Reorder the terms:
-2 + 4k = -3(-4 + 2k)
-2 + 4k = (-4 * -3 + 2k * -3)
-2 + 4k = (12 + -6k)

Solving
-2 + 4k = 12 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-2 + 4k + 6k = 12 + -6k + 6k

Combine like terms: 4k + 6k = 10k
-2 + 10k = 12 + -6k + 6k

Combine like terms: -6k + 6k = 0
-2 + 10k = 12 + 0
-2 + 10k = 12

Add '2' to each side of the equation.
-2 + 2 + 10k = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 10k = 12 + 2
10k = 12 + 2

Combine like terms: 12 + 2 = 14
10k = 14

Divide each side by '10'.
k = 1.4

Simplifying
k = 1.4