.5k+3.6=4.2-1.5k

Solution for .5k+3.6=4.2-1.5k equation:

Simplifying
0.5k + 3.6 = 4.2 + -1.5k

Reorder the terms:
3.6 + 0.5k = 4.2 + -1.5k

Solving
3.6 + 0.5k = 4.2 + -1.5k

Solving for variable 'k'.

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

Add '1.5k' to each side of the equation.
3.6 + 0.5k + 1.5k = 4.2 + -1.5k + 1.5k

Combine like terms: 0.5k + 1.5k = 2k
3.6 + 2k = 4.2 + -1.5k + 1.5k

Combine like terms: -1.5k + 1.5k = 0.0
3.6 + 2k = 4.2 + 0.0
3.6 + 2k = 4.2

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 2k = 4.2 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 2k = 4.2 + -3.6
2k = 4.2 + -3.6

Combine like terms: 4.2 + -3.6 = 0.6
2k = 0.6

Divide each side by '2'.
k = 0.3

Simplifying
k = 0.3