0.2x-0.8(8-5x)=0.5(x-6)

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Solution for 0.2x-0.8(8-5x)=0.5(x-6) equation: 


Simplifying
0.2x + -0.8(8 + -5x) = 0.5(x + -6)
0.2x + (8 * -0.8 + -5x * -0.8) = 0.5(x + -6)
0.2x + (-6.4 + 4x) = 0.5(x + -6)

Reorder the terms:
-6.4 + 0.2x + 4x = 0.5(x + -6)

Combine like terms: 0.2x + 4x = 4.2x
-6.4 + 4.2x = 0.5(x + -6)

Reorder the terms:
-6.4 + 4.2x = 0.5(-6 + x)
-6.4 + 4.2x = (-6 * 0.5 + x * 0.5)
-6.4 + 4.2x = (-3 + 0.5x)

Solving
-6.4 + 4.2x = -3 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-6.4 + 4.2x + -0.5x = -3 + 0.5x + -0.5x

Combine like terms: 4.2x + -0.5x = 3.7x
-6.4 + 3.7x = -3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-6.4 + 3.7x = -3 + 0.0
-6.4 + 3.7x = -3

Add '6.4' to each side of the equation.
-6.4 + 6.4 + 3.7x = -3 + 6.4

Combine like terms: -6.4 + 6.4 = 0.0
0.0 + 3.7x = -3 + 6.4
3.7x = -3 + 6.4

Combine like terms: -3 + 6.4 = 3.4
3.7x = 3.4

Divide each side by '3.7'.
x = 0.9189189189

Simplifying
x = 0.9189189189

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