2(k-4.1)=-3.2(k-4.6)

Solution for 2(k-4.1)=-3.2(k-4.6) equation:

Simplifying
2(k + -4.1) = -3.2(k + -4.6)

Reorder the terms:
2(-4.1 + k) = -3.2(k + -4.6)
(-4.1 * 2 + k * 2) = -3.2(k + -4.6)
(-8.2 + 2k) = -3.2(k + -4.6)

Reorder the terms:
-8.2 + 2k = -3.2(-4.6 + k)
-8.2 + 2k = (-4.6 * -3.2 + k * -3.2)
-8.2 + 2k = (14.72 + -3.2k)

Solving
-8.2 + 2k = 14.72 + -3.2k

Solving for variable 'k'.

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

Add '3.2k' to each side of the equation.
-8.2 + 2k + 3.2k = 14.72 + -3.2k + 3.2k

Combine like terms: 2k + 3.2k = 5.2k
-8.2 + 5.2k = 14.72 + -3.2k + 3.2k

Combine like terms: -3.2k + 3.2k = 0.0
-8.2 + 5.2k = 14.72 + 0.0
-8.2 + 5.2k = 14.72

Add '8.2' to each side of the equation.
-8.2 + 8.2 + 5.2k = 14.72 + 8.2

Combine like terms: -8.2 + 8.2 = 0.0
0.0 + 5.2k = 14.72 + 8.2
5.2k = 14.72 + 8.2

Combine like terms: 14.72 + 8.2 = 22.92
5.2k = 22.92

Divide each side by '5.2'.
k = 4.407692308

Simplifying
k = 4.407692308