.4(4x+11)=4(1-3x)+14

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Solution for .4(4x+11)=4(1-3x)+14 equation: 


Simplifying
0.4(4x + 11) = 4(1 + -3x) + 14

Reorder the terms:
0.4(11 + 4x) = 4(1 + -3x) + 14
(11 * 0.4 + 4x * 0.4) = 4(1 + -3x) + 14
(4.4 + 1.6x) = 4(1 + -3x) + 14
4.4 + 1.6x = (1 * 4 + -3x * 4) + 14
4.4 + 1.6x = (4 + -12x) + 14

Reorder the terms:
4.4 + 1.6x = 4 + 14 + -12x

Combine like terms: 4 + 14 = 18
4.4 + 1.6x = 18 + -12x

Solving
4.4 + 1.6x = 18 + -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.
4.4 + 1.6x + 12x = 18 + -12x + 12x

Combine like terms: 1.6x + 12x = 13.6x
4.4 + 13.6x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
4.4 + 13.6x = 18 + 0
4.4 + 13.6x = 18

Add '-4.4' to each side of the equation.
4.4 + -4.4 + 13.6x = 18 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 13.6x = 18 + -4.4
13.6x = 18 + -4.4

Combine like terms: 18 + -4.4 = 13.6
13.6x = 13.6

Divide each side by '13.6'.
x = 1

Simplifying
x = 1

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