0.2x-0.4(1-2x)=-0.8(x-4)

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Solution for 0.2x-0.4(1-2x)=-0.8(x-4) equation: 


Simplifying
0.2x + -0.4(1 + -2x) = -0.8(x + -4)
0.2x + (1 * -0.4 + -2x * -0.4) = -0.8(x + -4)
0.2x + (-0.4 + 0.8x) = -0.8(x + -4)

Reorder the terms:
-0.4 + 0.2x + 0.8x = -0.8(x + -4)

Combine like terms: 0.2x + 0.8x = 1x
-0.4 + 1x = -0.8(x + -4)

Reorder the terms:
-0.4 + 1x = -0.8(-4 + x)
-0.4 + 1x = (-4 * -0.8 + x * -0.8)
-0.4 + 1x = (3.2 + -0.8x)

Solving
-0.4 + 1x = 3.2 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-0.4 + 1x + 0.8x = 3.2 + -0.8x + 0.8x

Combine like terms: 1x + 0.8x = 1.8x
-0.4 + 1.8x = 3.2 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-0.4 + 1.8x = 3.2 + 0.0
-0.4 + 1.8x = 3.2

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 1.8x = 3.2 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 1.8x = 3.2 + 0.4
1.8x = 3.2 + 0.4

Combine like terms: 3.2 + 0.4 = 3.6
1.8x = 3.6

Divide each side by '1.8'.
x = 2

Simplifying
x = 2

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