5(k+11)+2(k-3)-7=2(k-4)

Solution for 5(k+11)+2(k-3)-7=2(k-4) equation:

Simplifying
5(k + 11) + 2(k + -3) + -7 = 2(k + -4)

Reorder the terms:
5(11 + k) + 2(k + -3) + -7 = 2(k + -4)
(11 * 5 + k * 5) + 2(k + -3) + -7 = 2(k + -4)
(55 + 5k) + 2(k + -3) + -7 = 2(k + -4)

Reorder the terms:
55 + 5k + 2(-3 + k) + -7 = 2(k + -4)
55 + 5k + (-3 * 2 + k * 2) + -7 = 2(k + -4)
55 + 5k + (-6 + 2k) + -7 = 2(k + -4)

Reorder the terms:
55 + -6 + -7 + 5k + 2k = 2(k + -4)

Combine like terms: 55 + -6 = 49
49 + -7 + 5k + 2k = 2(k + -4)

Combine like terms: 49 + -7 = 42
42 + 5k + 2k = 2(k + -4)

Combine like terms: 5k + 2k = 7k
42 + 7k = 2(k + -4)

Reorder the terms:
42 + 7k = 2(-4 + k)
42 + 7k = (-4 * 2 + k * 2)
42 + 7k = (-8 + 2k)

Solving
42 + 7k = -8 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
42 + 7k + -2k = -8 + 2k + -2k

Combine like terms: 7k + -2k = 5k
42 + 5k = -8 + 2k + -2k

Combine like terms: 2k + -2k = 0
42 + 5k = -8 + 0
42 + 5k = -8

Add '-42' to each side of the equation.
42 + -42 + 5k = -8 + -42

Combine like terms: 42 + -42 = 0
0 + 5k = -8 + -42
5k = -8 + -42

Combine like terms: -8 + -42 = -50
5k = -50

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

Simplifying
k = -10