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

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

Simplifying
3(4k + -2) + -2(k + 5) = 0

Reorder the terms:
3(-2 + 4k) + -2(k + 5) = 0
(-2 * 3 + 4k * 3) + -2(k + 5) = 0
(-6 + 12k) + -2(k + 5) = 0

Reorder the terms:
-6 + 12k + -2(5 + k) = 0
-6 + 12k + (5 * -2 + k * -2) = 0
-6 + 12k + (-10 + -2k) = 0

Reorder the terms:
-6 + -10 + 12k + -2k = 0

Combine like terms: -6 + -10 = -16
-16 + 12k + -2k = 0

Combine like terms: 12k + -2k = 10k
-16 + 10k = 0

Solving
-16 + 10k = 0

Solving for variable 'k'.

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

Add '16' to each side of the equation.
-16 + 16 + 10k = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 10k = 0 + 16
10k = 0 + 16

Combine like terms: 0 + 16 = 16
10k = 16

Divide each side by '10'.
k = 1.6

Simplifying
k = 1.6