5(k+7)-(6+2k)=2k

Solution for 5(k+7)-(6+2k)=2k equation:

Simplifying
5(k + 7) + -1(6 + 2k) = 2k

Reorder the terms:
5(7 + k) + -1(6 + 2k) = 2k
(7 * 5 + k * 5) + -1(6 + 2k) = 2k
(35 + 5k) + -1(6 + 2k) = 2k
35 + 5k + (6 * -1 + 2k * -1) = 2k
35 + 5k + (-6 + -2k) = 2k

Reorder the terms:
35 + -6 + 5k + -2k = 2k

Combine like terms: 35 + -6 = 29
29 + 5k + -2k = 2k

Combine like terms: 5k + -2k = 3k
29 + 3k = 2k

Solving
29 + 3k = 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
29 + 3k + -2k = 2k + -2k

Combine like terms: 3k + -2k = 1k
29 + 1k = 2k + -2k

Combine like terms: 2k + -2k = 0
29 + 1k = 0

Add '-29' to each side of the equation.
29 + -29 + 1k = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 1k = 0 + -29
1k = 0 + -29

Combine like terms: 0 + -29 = -29
1k = -29

Divide each side by '1'.
k = -29

Simplifying
k = -29