2(3k+2)-13k+6+2=0

Solution for 2(3k+2)-13k+6+2=0 equation:

Simplifying
2(3k + 2) + -13k + 6 + 2 = 0

Reorder the terms:
2(2 + 3k) + -13k + 6 + 2 = 0
(2 * 2 + 3k * 2) + -13k + 6 + 2 = 0
(4 + 6k) + -13k + 6 + 2 = 0

Reorder the terms:
4 + 6 + 2 + 6k + -13k = 0

Combine like terms: 4 + 6 = 10
10 + 2 + 6k + -13k = 0

Combine like terms: 10 + 2 = 12
12 + 6k + -13k = 0

Combine like terms: 6k + -13k = -7k
12 + -7k = 0

Solving
12 + -7k = 0

Solving for variable 'k'.

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

Add '-12' to each side of the equation.
12 + -12 + -7k = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7k = 0 + -12
-7k = 0 + -12

Combine like terms: 0 + -12 = -12
-7k = -12

Divide each side by '-7'.
k = 1.714285714

Simplifying
k = 1.714285714