2(k-6.8)=-5.6(k-6.7)

Solution for 2(k-6.8)=-5.6(k-6.7) equation:

Simplifying
2(k + -6.8) = -5.6(k + -6.7)

Reorder the terms:
2(-6.8 + k) = -5.6(k + -6.7)
(-6.8 * 2 + k * 2) = -5.6(k + -6.7)
(-13.6 + 2k) = -5.6(k + -6.7)

Reorder the terms:
-13.6 + 2k = -5.6(-6.7 + k)
-13.6 + 2k = (-6.7 * -5.6 + k * -5.6)
-13.6 + 2k = (37.52 + -5.6k)

Solving
-13.6 + 2k = 37.52 + -5.6k

Solving for variable 'k'.

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

Add '5.6k' to each side of the equation.
-13.6 + 2k + 5.6k = 37.52 + -5.6k + 5.6k

Combine like terms: 2k + 5.6k = 7.6k
-13.6 + 7.6k = 37.52 + -5.6k + 5.6k

Combine like terms: -5.6k + 5.6k = 0.0
-13.6 + 7.6k = 37.52 + 0.0
-13.6 + 7.6k = 37.52

Add '13.6' to each side of the equation.
-13.6 + 13.6 + 7.6k = 37.52 + 13.6

Combine like terms: -13.6 + 13.6 = 0.0
0.0 + 7.6k = 37.52 + 13.6
7.6k = 37.52 + 13.6

Combine like terms: 37.52 + 13.6 = 51.12
7.6k = 51.12

Divide each side by '7.6'.
k = 6.726315789

Simplifying
k = 6.726315789