.4(4x+7)=2(3-3x)+12

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Solution for .4(4x+7)=2(3-3x)+12 equation: 


Simplifying
0.4(4x + 7) = 2(3 + -3x) + 12

Reorder the terms:
0.4(7 + 4x) = 2(3 + -3x) + 12
(7 * 0.4 + 4x * 0.4) = 2(3 + -3x) + 12
(2.8 + 1.6x) = 2(3 + -3x) + 12
2.8 + 1.6x = (3 * 2 + -3x * 2) + 12
2.8 + 1.6x = (6 + -6x) + 12

Reorder the terms:
2.8 + 1.6x = 6 + 12 + -6x

Combine like terms: 6 + 12 = 18
2.8 + 1.6x = 18 + -6x

Solving
2.8 + 1.6x = 18 + -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.
2.8 + 1.6x + 6x = 18 + -6x + 6x

Combine like terms: 1.6x + 6x = 7.6x
2.8 + 7.6x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
2.8 + 7.6x = 18 + 0
2.8 + 7.6x = 18

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 7.6x = 18 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 7.6x = 18 + -2.8
7.6x = 18 + -2.8

Combine like terms: 18 + -2.8 = 15.2
7.6x = 15.2

Divide each side by '7.6'.
x = 2

Simplifying
x = 2

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