9(k+5)=5(k+1)

Solution for 9(k+5)=5(k+1) equation:

Simplifying
9(k + 5) = 5(k + 1)

Reorder the terms:
9(5 + k) = 5(k + 1)
(5 * 9 + k * 9) = 5(k + 1)
(45 + 9k) = 5(k + 1)

Reorder the terms:
45 + 9k = 5(1 + k)
45 + 9k = (1 * 5 + k * 5)
45 + 9k = (5 + 5k)

Solving
45 + 9k = 5 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
45 + 9k + -5k = 5 + 5k + -5k

Combine like terms: 9k + -5k = 4k
45 + 4k = 5 + 5k + -5k

Combine like terms: 5k + -5k = 0
45 + 4k = 5 + 0
45 + 4k = 5

Add '-45' to each side of the equation.
45 + -45 + 4k = 5 + -45

Combine like terms: 45 + -45 = 0
0 + 4k = 5 + -45
4k = 5 + -45

Combine like terms: 5 + -45 = -40
4k = -40

Divide each side by '4'.
k = -10

Simplifying
k = -10