2(k-0.1)=3(0.3-k)

Solution for 2(k-0.1)=3(0.3-k) equation:

Simplifying
2(k + -0.1) = 3(0.3 + -1k)

Reorder the terms:
2(-0.1 + k) = 3(0.3 + -1k)
(-0.1 * 2 + k * 2) = 3(0.3 + -1k)
(-0.2 + 2k) = 3(0.3 + -1k)
-0.2 + 2k = (0.3 * 3 + -1k * 3)
-0.2 + 2k = (0.9 + -3k)

Solving
-0.2 + 2k = 0.9 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-0.2 + 2k + 3k = 0.9 + -3k + 3k

Combine like terms: 2k + 3k = 5k
-0.2 + 5k = 0.9 + -3k + 3k

Combine like terms: -3k + 3k = 0
-0.2 + 5k = 0.9 + 0
-0.2 + 5k = 0.9

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 5k = 0.9 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 5k = 0.9 + 0.2
5k = 0.9 + 0.2

Combine like terms: 0.9 + 0.2 = 1.1
5k = 1.1

Divide each side by '5'.
k = 0.22

Simplifying
k = 0.22