2(k-3.8)=-0.4(k-6.8)

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Solution for 2(k-3.8)=-0.4(k-6.8) equation: 


Simplifying
2(k + -3.8) = -0.4(k + -6.8)

Reorder the terms:
2(-3.8 + k) = -0.4(k + -6.8)
(-3.8 * 2 + k * 2) = -0.4(k + -6.8)
(-7.6 + 2k) = -0.4(k + -6.8)

Reorder the terms:
-7.6 + 2k = -0.4(-6.8 + k)
-7.6 + 2k = (-6.8 * -0.4 + k * -0.4)
-7.6 + 2k = (2.72 + -0.4k)

Solving
-7.6 + 2k = 2.72 + -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.
-7.6 + 2k + 0.4k = 2.72 + -0.4k + 0.4k

Combine like terms: 2k + 0.4k = 2.4k
-7.6 + 2.4k = 2.72 + -0.4k + 0.4k

Combine like terms: -0.4k + 0.4k = 0.0
-7.6 + 2.4k = 2.72 + 0.0
-7.6 + 2.4k = 2.72

Add '7.6' to each side of the equation.
-7.6 + 7.6 + 2.4k = 2.72 + 7.6

Combine like terms: -7.6 + 7.6 = 0.0
0.0 + 2.4k = 2.72 + 7.6
2.4k = 2.72 + 7.6

Combine like terms: 2.72 + 7.6 = 10.32
2.4k = 10.32

Divide each side by '2.4'.
k = 4.3

Simplifying
k = 4.3

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