5(k-4)-2(k+6)=-5

Solution for 5(k-4)-2(k+6)=-5 equation:

Simplifying
5(k + -4) + -2(k + 6) = -5

Reorder the terms:
5(-4 + k) + -2(k + 6) = -5
(-4 * 5 + k * 5) + -2(k + 6) = -5
(-20 + 5k) + -2(k + 6) = -5

Reorder the terms:
-20 + 5k + -2(6 + k) = -5
-20 + 5k + (6 * -2 + k * -2) = -5
-20 + 5k + (-12 + -2k) = -5

Reorder the terms:
-20 + -12 + 5k + -2k = -5

Combine like terms: -20 + -12 = -32
-32 + 5k + -2k = -5

Combine like terms: 5k + -2k = 3k
-32 + 3k = -5

Solving
-32 + 3k = -5

Solving for variable 'k'.

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

Add '32' to each side of the equation.
-32 + 32 + 3k = -5 + 32

Combine like terms: -32 + 32 = 0
0 + 3k = -5 + 32
3k = -5 + 32

Combine like terms: -5 + 32 = 27
3k = 27

Divide each side by '3'.
k = 9

Simplifying
k = 9