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

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

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

Reorder the terms:
3(-2 + 5k) + -2(k + -4) = 0
(-2 * 3 + 5k * 3) + -2(k + -4) = 0
(-6 + 15k) + -2(k + -4) = 0

Reorder the terms:
-6 + 15k + -2(-4 + k) = 0
-6 + 15k + (-4 * -2 + k * -2) = 0
-6 + 15k + (8 + -2k) = 0

Reorder the terms:
-6 + 8 + 15k + -2k = 0

Combine like terms: -6 + 8 = 2
2 + 15k + -2k = 0

Combine like terms: 15k + -2k = 13k
2 + 13k = 0

Solving
2 + 13k = 0

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + 13k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 13k = 0 + -2
13k = 0 + -2

Combine like terms: 0 + -2 = -2
13k = -2

Divide each side by '13'.
k = -0.1538461538

Simplifying
k = -0.1538461538