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

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

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

Reorder the terms:
3(5 + 2k) = 3(2 + -3k)
(5 * 3 + 2k * 3) = 3(2 + -3k)
(15 + 6k) = 3(2 + -3k)
15 + 6k = (2 * 3 + -3k * 3)
15 + 6k = (6 + -9k)

Solving
15 + 6k = 6 + -9k

Solving for variable 'k'.

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

Add '9k' to each side of the equation.
15 + 6k + 9k = 6 + -9k + 9k

Combine like terms: 6k + 9k = 15k
15 + 15k = 6 + -9k + 9k

Combine like terms: -9k + 9k = 0
15 + 15k = 6 + 0
15 + 15k = 6

Add '-15' to each side of the equation.
15 + -15 + 15k = 6 + -15

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

Combine like terms: 6 + -15 = -9
15k = -9

Divide each side by '15'.
k = -0.6

Simplifying
k = -0.6