.2x-.8(8-5x)=-.4(x-7)

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Solution for .2x-.8(8-5x)=-.4(x-7) equation: 


Simplifying
0.2x + -0.8(8 + -5x) = -0.4(x + -7)
0.2x + (8 * -0.8 + -5x * -0.8) = -0.4(x + -7)
0.2x + (-6.4 + 4x) = -0.4(x + -7)

Reorder the terms:
-6.4 + 0.2x + 4x = -0.4(x + -7)

Combine like terms: 0.2x + 4x = 4.2x
-6.4 + 4.2x = -0.4(x + -7)

Reorder the terms:
-6.4 + 4.2x = -0.4(-7 + x)
-6.4 + 4.2x = (-7 * -0.4 + x * -0.4)
-6.4 + 4.2x = (2.8 + -0.4x)

Solving
-6.4 + 4.2x = 2.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-6.4 + 4.2x + 0.4x = 2.8 + -0.4x + 0.4x

Combine like terms: 4.2x + 0.4x = 4.6x
-6.4 + 4.6x = 2.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-6.4 + 4.6x = 2.8 + 0.0
-6.4 + 4.6x = 2.8

Add '6.4' to each side of the equation.
-6.4 + 6.4 + 4.6x = 2.8 + 6.4

Combine like terms: -6.4 + 6.4 = 0.0
0.0 + 4.6x = 2.8 + 6.4
4.6x = 2.8 + 6.4

Combine like terms: 2.8 + 6.4 = 9.2
4.6x = 9.2

Divide each side by '4.6'.
x = 2

Simplifying
x = 2

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