3(2-k)=6-(10+k)

Solution for 3(2-k)=6-(10+k) equation:

Simplifying
3(2 + -1k) = 6 + -1(10 + k)
(2 * 3 + -1k * 3) = 6 + -1(10 + k)
(6 + -3k) = 6 + -1(10 + k)
6 + -3k = 6 + (10 * -1 + k * -1)
6 + -3k = 6 + (-10 + -1k)

Combine like terms: 6 + -10 = -4
6 + -3k = -4 + -1k

Solving
6 + -3k = -4 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
6 + -3k + k = -4 + -1k + k

Combine like terms: -3k + k = -2k
6 + -2k = -4 + -1k + k

Combine like terms: -1k + k = 0
6 + -2k = -4 + 0
6 + -2k = -4

Add '-6' to each side of the equation.
6 + -6 + -2k = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2k = -4 + -6
-2k = -4 + -6

Combine like terms: -4 + -6 = -10
-2k = -10

Divide each side by '-2'.
k = 5

Simplifying
k = 5