.4(4x+6)=4(3-3x)+4

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Solution for .4(4x+6)=4(3-3x)+4 equation: 


Simplifying
0.4(4x + 6) = 4(3 + -3x) + 4

Reorder the terms:
0.4(6 + 4x) = 4(3 + -3x) + 4
(6 * 0.4 + 4x * 0.4) = 4(3 + -3x) + 4
(2.4 + 1.6x) = 4(3 + -3x) + 4
2.4 + 1.6x = (3 * 4 + -3x * 4) + 4
2.4 + 1.6x = (12 + -12x) + 4

Reorder the terms:
2.4 + 1.6x = 12 + 4 + -12x

Combine like terms: 12 + 4 = 16
2.4 + 1.6x = 16 + -12x

Solving
2.4 + 1.6x = 16 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
2.4 + 1.6x + 12x = 16 + -12x + 12x

Combine like terms: 1.6x + 12x = 13.6x
2.4 + 13.6x = 16 + -12x + 12x

Combine like terms: -12x + 12x = 0
2.4 + 13.6x = 16 + 0
2.4 + 13.6x = 16

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 13.6x = 16 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 13.6x = 16 + -2.4
13.6x = 16 + -2.4

Combine like terms: 16 + -2.4 = 13.6
13.6x = 13.6

Divide each side by '13.6'.
x = 1

Simplifying
x = 1

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