.6x-.2(11-2x)=-.8(x-4)

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Solution for .6x-.2(11-2x)=-.8(x-4) equation: 


Simplifying
0.6x + -0.2(11 + -2x) = -0.8(x + -4)
0.6x + (11 * -0.2 + -2x * -0.2) = -0.8(x + -4)
0.6x + (-2.2 + 0.4x) = -0.8(x + -4)

Reorder the terms:
-2.2 + 0.6x + 0.4x = -0.8(x + -4)

Combine like terms: 0.6x + 0.4x = 1x
-2.2 + 1x = -0.8(x + -4)

Reorder the terms:
-2.2 + 1x = -0.8(-4 + x)
-2.2 + 1x = (-4 * -0.8 + x * -0.8)
-2.2 + 1x = (3.2 + -0.8x)

Solving
-2.2 + 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.
-2.2 + 1x + 0.8x = 3.2 + -0.8x + 0.8x

Combine like terms: 1x + 0.8x = 1.8x
-2.2 + 1.8x = 3.2 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-2.2 + 1.8x = 3.2 + 0.0
-2.2 + 1.8x = 3.2

Add '2.2' to each side of the equation.
-2.2 + 2.2 + 1.8x = 3.2 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + 1.8x = 3.2 + 2.2
1.8x = 3.2 + 2.2

Combine like terms: 3.2 + 2.2 = 5.4
1.8x = 5.4

Divide each side by '1.8'.
x = 3

Simplifying
x = 3

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