12-0.5(k-15)=0.2(10k-15)

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Solution for 12-0.5(k-15)=0.2(10k-15) equation: 


Simplifying
12 + -0.5(k + -15) = 0.2(10k + -15)

Reorder the terms:
12 + -0.5(-15 + k) = 0.2(10k + -15)
12 + (-15 * -0.5 + k * -0.5) = 0.2(10k + -15)
12 + (7.5 + -0.5k) = 0.2(10k + -15)

Combine like terms: 12 + 7.5 = 19.5
19.5 + -0.5k = 0.2(10k + -15)

Reorder the terms:
19.5 + -0.5k = 0.2(-15 + 10k)
19.5 + -0.5k = (-15 * 0.2 + 10k * 0.2)
19.5 + -0.5k = (-3 + 2k)

Solving
19.5 + -0.5k = -3 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
19.5 + -0.5k + -2k = -3 + 2k + -2k

Combine like terms: -0.5k + -2k = -2.5k
19.5 + -2.5k = -3 + 2k + -2k

Combine like terms: 2k + -2k = 0
19.5 + -2.5k = -3 + 0
19.5 + -2.5k = -3

Add '-19.5' to each side of the equation.
19.5 + -19.5 + -2.5k = -3 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -2.5k = -3 + -19.5
-2.5k = -3 + -19.5

Combine like terms: -3 + -19.5 = -22.5
-2.5k = -22.5

Divide each side by '-2.5'.
k = 9

Simplifying
k = 9

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