3(2+k)-5(1+k)=-63

Solution for 3(2+k)-5(1+k)=-63 equation:

Simplifying
3(2 + k) + -5(1 + k) = -63
(2 * 3 + k * 3) + -5(1 + k) = -63
(6 + 3k) + -5(1 + k) = -63
6 + 3k + (1 * -5 + k * -5) = -63
6 + 3k + (-5 + -5k) = -63

Reorder the terms:
6 + -5 + 3k + -5k = -63

Combine like terms: 6 + -5 = 1
1 + 3k + -5k = -63

Combine like terms: 3k + -5k = -2k
1 + -2k = -63

Solving
1 + -2k = -63

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + -2k = -63 + -1

Combine like terms: 1 + -1 = 0
0 + -2k = -63 + -1
-2k = -63 + -1

Combine like terms: -63 + -1 = -64
-2k = -64

Divide each side by '-2'.
k = 32

Simplifying
k = 32