0.4(6x+12)=1.2-(x-2)

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Solution for 0.4(6x+12)=1.2-(x-2) equation: 


Simplifying
0.4(6x + 12) = 1.2 + -1(x + -2)

Reorder the terms:
0.4(12 + 6x) = 1.2 + -1(x + -2)
(12 * 0.4 + 6x * 0.4) = 1.2 + -1(x + -2)
(4.8 + 2.4x) = 1.2 + -1(x + -2)

Reorder the terms:
4.8 + 2.4x = 1.2 + -1(-2 + x)
4.8 + 2.4x = 1.2 + (-2 * -1 + x * -1)
4.8 + 2.4x = 1.2 + (2 + -1x)

Combine like terms: 1.2 + 2 = 3.2
4.8 + 2.4x = 3.2 + -1x

Solving
4.8 + 2.4x = 3.2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4.8 + 2.4x + x = 3.2 + -1x + x

Combine like terms: 2.4x + x = 3.4x
4.8 + 3.4x = 3.2 + -1x + x

Combine like terms: -1x + x = 0
4.8 + 3.4x = 3.2 + 0
4.8 + 3.4x = 3.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 3.4x = 3.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 3.4x = 3.2 + -4.8
3.4x = 3.2 + -4.8

Combine like terms: 3.2 + -4.8 = -1.6
3.4x = -1.6

Divide each side by '3.4'.
x = -0.4705882353

Simplifying
x = -0.4705882353

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