47=2(k+3)+3(k-3)

Solution for 47=2(k+3)+3(k-3) equation:

Simplifying
47 = 2(k + 3) + 3(k + -3)

Reorder the terms:
47 = 2(3 + k) + 3(k + -3)
47 = (3 * 2 + k * 2) + 3(k + -3)
47 = (6 + 2k) + 3(k + -3)

Reorder the terms:
47 = 6 + 2k + 3(-3 + k)
47 = 6 + 2k + (-3 * 3 + k * 3)
47 = 6 + 2k + (-9 + 3k)

Reorder the terms:
47 = 6 + -9 + 2k + 3k

Combine like terms: 6 + -9 = -3
47 = -3 + 2k + 3k

Combine like terms: 2k + 3k = 5k
47 = -3 + 5k

Solving
47 = -3 + 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.
47 + -5k = -3 + 5k + -5k

Combine like terms: 5k + -5k = 0
47 + -5k = -3 + 0
47 + -5k = -3

Add '-47' to each side of the equation.
47 + -47 + -5k = -3 + -47

Combine like terms: 47 + -47 = 0
0 + -5k = -3 + -47
-5k = -3 + -47

Combine like terms: -3 + -47 = -50
-5k = -50

Divide each side by '-5'.
k = 10

Simplifying
k = 10