3(2-k)=10+k

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

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

Solving
6 + -3k = 10 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
6 + -3k + -1k = 10 + k + -1k

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

Combine like terms: k + -1k = 0
6 + -4k = 10 + 0
6 + -4k = 10

Add '-6' to each side of the equation.
6 + -6 + -4k = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -4k = 10 + -6
-4k = 10 + -6

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

Divide each side by '-4'.
k = -1

Simplifying
k = -1