2(k-(4K+7)+5)=2(k+2)

Solution for 2(k-(4K+7)+5)=2(k+2) equation:

Simplifying
2(k + -1(4K + 7) + 5) = 2(k + 2)

Reorder the terms:
2(k + -1(7 + 4K) + 5) = 2(k + 2)
2(k + (7 * -1 + 4K * -1) + 5) = 2(k + 2)
2(k + (-7 + -4K) + 5) = 2(k + 2)

Reorder the terms:
2(-7 + 5 + -4K + k) = 2(k + 2)

Combine like terms: -7 + 5 = -2
2(-2 + -4K + k) = 2(k + 2)
(-2 * 2 + -4K * 2 + k * 2) = 2(k + 2)
(-4 + -8K + 2k) = 2(k + 2)

Reorder the terms:
-4 + -8K + 2k = 2(2 + k)
-4 + -8K + 2k = (2 * 2 + k * 2)
-4 + -8K + 2k = (4 + 2k)

Add '-2k' to each side of the equation.
-4 + -8K + 2k + -2k = 4 + 2k + -2k

Combine like terms: 2k + -2k = 0
-4 + -8K + 0 = 4 + 2k + -2k
-4 + -8K = 4 + 2k + -2k

Combine like terms: 2k + -2k = 0
-4 + -8K = 4 + 0
-4 + -8K = 4

Solving
-4 + -8K = 4

Solving for variable 'K'.

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

Add '4' to each side of the equation.
-4 + 4 + -8K = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -8K = 4 + 4
-8K = 4 + 4

Combine like terms: 4 + 4 = 8
-8K = 8

Divide each side by '-8'.
K = -1

Simplifying
K = -1