0.6x-0.2(12-2x)=-0.4(x-8)

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Solution for 0.6x-0.2(12-2x)=-0.4(x-8) equation: 


Simplifying
0.6x + -0.2(12 + -2x) = -0.4(x + -8)
0.6x + (12 * -0.2 + -2x * -0.2) = -0.4(x + -8)
0.6x + (-2.4 + 0.4x) = -0.4(x + -8)

Reorder the terms:
-2.4 + 0.6x + 0.4x = -0.4(x + -8)

Combine like terms: 0.6x + 0.4x = 1x
-2.4 + 1x = -0.4(x + -8)

Reorder the terms:
-2.4 + 1x = -0.4(-8 + x)
-2.4 + 1x = (-8 * -0.4 + x * -0.4)
-2.4 + 1x = (3.2 + -0.4x)

Solving
-2.4 + 1x = 3.2 + -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.
-2.4 + 1x + 0.4x = 3.2 + -0.4x + 0.4x

Combine like terms: 1x + 0.4x = 1.4x
-2.4 + 1.4x = 3.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-2.4 + 1.4x = 3.2 + 0.0
-2.4 + 1.4x = 3.2

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1.4x = 3.2 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1.4x = 3.2 + 2.4
1.4x = 3.2 + 2.4

Combine like terms: 3.2 + 2.4 = 5.6
1.4x = 5.6

Divide each side by '1.4'.
x = 4

Simplifying
x = 4

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