(k+3)-(3k+5)=

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

Simplifying
(k + 3) + -1(3k + 5) = 0

Reorder the terms:
(3 + k) + -1(3k + 5) = 0

Remove parenthesis around (3 + k)
3 + k + -1(3k + 5) = 0

Reorder the terms:
3 + k + -1(5 + 3k) = 0
3 + k + (5 * -1 + 3k * -1) = 0
3 + k + (-5 + -3k) = 0

Reorder the terms:
3 + -5 + k + -3k = 0

Combine like terms: 3 + -5 = -2
-2 + k + -3k = 0

Combine like terms: k + -3k = -2k
-2 + -2k = 0

Solving
-2 + -2k = 0

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + 2 + -2k = 0 + 2

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

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

Divide each side by '-2'.
k = -1

Simplifying
k = -1