2(k-3.9)=-0.4(k-9.6)

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Solution for 2(k-3.9)=-0.4(k-9.6) equation: 


Simplifying
2(k + -3.9) = -0.4(k + -9.6)

Reorder the terms:
2(-3.9 + k) = -0.4(k + -9.6)
(-3.9 * 2 + k * 2) = -0.4(k + -9.6)
(-7.8 + 2k) = -0.4(k + -9.6)

Reorder the terms:
-7.8 + 2k = -0.4(-9.6 + k)
-7.8 + 2k = (-9.6 * -0.4 + k * -0.4)
-7.8 + 2k = (3.84 + -0.4k)

Solving
-7.8 + 2k = 3.84 + -0.4k

Solving for variable 'k'.

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

Add '0.4k' to each side of the equation.
-7.8 + 2k + 0.4k = 3.84 + -0.4k + 0.4k

Combine like terms: 2k + 0.4k = 2.4k
-7.8 + 2.4k = 3.84 + -0.4k + 0.4k

Combine like terms: -0.4k + 0.4k = 0.0
-7.8 + 2.4k = 3.84 + 0.0
-7.8 + 2.4k = 3.84

Add '7.8' to each side of the equation.
-7.8 + 7.8 + 2.4k = 3.84 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + 2.4k = 3.84 + 7.8
2.4k = 3.84 + 7.8

Combine like terms: 3.84 + 7.8 = 11.64
2.4k = 11.64

Divide each side by '2.4'.
k = 4.85

Simplifying
k = 4.85

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