0.4(2-4x)=12-(6x+1)

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Solution for 0.4(2-4x)=12-(6x+1) equation: 


Simplifying
0.4(2 + -4x) = 12 + -1(6x + 1)
(2 * 0.4 + -4x * 0.4) = 12 + -1(6x + 1)
(0.8 + -1.6x) = 12 + -1(6x + 1)

Reorder the terms:
0.8 + -1.6x = 12 + -1(1 + 6x)
0.8 + -1.6x = 12 + (1 * -1 + 6x * -1)
0.8 + -1.6x = 12 + (-1 + -6x)

Combine like terms: 12 + -1 = 11
0.8 + -1.6x = 11 + -6x

Solving
0.8 + -1.6x = 11 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0.8 + -1.6x + 6x = 11 + -6x + 6x

Combine like terms: -1.6x + 6x = 4.4x
0.8 + 4.4x = 11 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.8 + 4.4x = 11 + 0
0.8 + 4.4x = 11

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 4.4x = 11 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 4.4x = 11 + -0.8
4.4x = 11 + -0.8

Combine like terms: 11 + -0.8 = 10.2
4.4x = 10.2

Divide each side by '4.4'.
x = 2.318181818

Simplifying
x = 2.318181818

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