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

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

Simplifying
5(3 + 2k) + 3(2 + 3k) = 0
(3 * 5 + 2k * 5) + 3(2 + 3k) = 0
(15 + 10k) + 3(2 + 3k) = 0
15 + 10k + (2 * 3 + 3k * 3) = 0
15 + 10k + (6 + 9k) = 0

Reorder the terms:
15 + 6 + 10k + 9k = 0

Combine like terms: 15 + 6 = 21
21 + 10k + 9k = 0

Combine like terms: 10k + 9k = 19k
21 + 19k = 0

Solving
21 + 19k = 0

Solving for variable 'k'.

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

Add '-21' to each side of the equation.
21 + -21 + 19k = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 19k = 0 + -21
19k = 0 + -21

Combine like terms: 0 + -21 = -21
19k = -21

Divide each side by '19'.
k = -1.105263158

Simplifying
k = -1.105263158