.4(4x+11)=3(3-2x)+3

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Solution for .4(4x+11)=3(3-2x)+3 equation: 


Simplifying
0.4(4x + 11) = 3(3 + -2x) + 3

Reorder the terms:
0.4(11 + 4x) = 3(3 + -2x) + 3
(11 * 0.4 + 4x * 0.4) = 3(3 + -2x) + 3
(4.4 + 1.6x) = 3(3 + -2x) + 3
4.4 + 1.6x = (3 * 3 + -2x * 3) + 3
4.4 + 1.6x = (9 + -6x) + 3

Reorder the terms:
4.4 + 1.6x = 9 + 3 + -6x

Combine like terms: 9 + 3 = 12
4.4 + 1.6x = 12 + -6x

Solving
4.4 + 1.6x = 12 + -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.
4.4 + 1.6x + 6x = 12 + -6x + 6x

Combine like terms: 1.6x + 6x = 7.6x
4.4 + 7.6x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
4.4 + 7.6x = 12 + 0
4.4 + 7.6x = 12

Add '-4.4' to each side of the equation.
4.4 + -4.4 + 7.6x = 12 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 7.6x = 12 + -4.4
7.6x = 12 + -4.4

Combine like terms: 12 + -4.4 = 7.6
7.6x = 7.6

Divide each side by '7.6'.
x = 1

Simplifying
x = 1

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