.4k-(k+.5)=.1(k+2)

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Solution for .4k-(k+.5)=.1(k+2) equation: 


Simplifying
0.4k + -1(k + 0.5) = 0.1(k + 2)

Reorder the terms:
0.4k + -1(0.5 + k) = 0.1(k + 2)
0.4k + (0.5 * -1 + k * -1) = 0.1(k + 2)
0.4k + (-0.5 + -1k) = 0.1(k + 2)

Reorder the terms:
-0.5 + 0.4k + -1k = 0.1(k + 2)

Combine like terms: 0.4k + -1k = -0.6k
-0.5 + -0.6k = 0.1(k + 2)

Reorder the terms:
-0.5 + -0.6k = 0.1(2 + k)
-0.5 + -0.6k = (2 * 0.1 + k * 0.1)
-0.5 + -0.6k = (0.2 + 0.1k)

Solving
-0.5 + -0.6k = 0.2 + 0.1k

Solving for variable 'k'.

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

Add '-0.1k' to each side of the equation.
-0.5 + -0.6k + -0.1k = 0.2 + 0.1k + -0.1k

Combine like terms: -0.6k + -0.1k = -0.7k
-0.5 + -0.7k = 0.2 + 0.1k + -0.1k

Combine like terms: 0.1k + -0.1k = 0.0
-0.5 + -0.7k = 0.2 + 0.0
-0.5 + -0.7k = 0.2

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -0.7k = 0.2 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.7k = 0.2 + 0.5
-0.7k = 0.2 + 0.5

Combine like terms: 0.2 + 0.5 = 0.7
-0.7k = 0.7

Divide each side by '-0.7'.
k = -1

Simplifying
k = -1

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