5(2k+9)=105

Solution for 5(2k+9)=105 equation:

Simplifying
5(2k + 9) = 105

Reorder the terms:
5(9 + 2k) = 105
(9 * 5 + 2k * 5) = 105
(45 + 10k) = 105

Solving
45 + 10k = 105

Solving for variable 'k'.

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

Add '-45' to each side of the equation.
45 + -45 + 10k = 105 + -45

Combine like terms: 45 + -45 = 0
0 + 10k = 105 + -45
10k = 105 + -45

Combine like terms: 105 + -45 = 60
10k = 60

Divide each side by '10'.
k = 6

Simplifying
k = 6