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

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

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

Reorder the terms:
4(-3 + k) + -5(k + 2) = -11
(-3 * 4 + k * 4) + -5(k + 2) = -11
(-12 + 4k) + -5(k + 2) = -11

Reorder the terms:
-12 + 4k + -5(2 + k) = -11
-12 + 4k + (2 * -5 + k * -5) = -11
-12 + 4k + (-10 + -5k) = -11

Reorder the terms:
-12 + -10 + 4k + -5k = -11

Combine like terms: -12 + -10 = -22
-22 + 4k + -5k = -11

Combine like terms: 4k + -5k = -1k
-22 + -1k = -11

Solving
-22 + -1k = -11

Solving for variable 'k'.

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

Add '22' to each side of the equation.
-22 + 22 + -1k = -11 + 22

Combine like terms: -22 + 22 = 0
0 + -1k = -11 + 22
-1k = -11 + 22

Combine like terms: -11 + 22 = 11
-1k = 11

Divide each side by '-1'.
k = -11

Simplifying
k = -11