2(3k+5)-13k+6+3=

Solution for 2(3k+5)-13k+6+3= equation:

Simplifying
2(3k + 5) + -13k + 6 + 3 = 0

Reorder the terms:
2(5 + 3k) + -13k + 6 + 3 = 0
(5 * 2 + 3k * 2) + -13k + 6 + 3 = 0
(10 + 6k) + -13k + 6 + 3 = 0

Reorder the terms:
10 + 6 + 3 + 6k + -13k = 0

Combine like terms: 10 + 6 = 16
16 + 3 + 6k + -13k = 0

Combine like terms: 16 + 3 = 19
19 + 6k + -13k = 0

Combine like terms: 6k + -13k = -7k
19 + -7k = 0

Solving
19 + -7k = 0

Solving for variable 'k'.

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

Add '-19' to each side of the equation.
19 + -19 + -7k = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -7k = 0 + -19
-7k = 0 + -19

Combine like terms: 0 + -19 = -19
-7k = -19

Divide each side by '-7'.
k = 2.714285714

Simplifying
k = 2.714285714