0.4(3x+1)=2(4-2x)+8

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Solution for 0.4(3x+1)=2(4-2x)+8 equation: 


Simplifying
0.4(3x + 1) = 2(4 + -2x) + 8

Reorder the terms:
0.4(1 + 3x) = 2(4 + -2x) + 8
(1 * 0.4 + 3x * 0.4) = 2(4 + -2x) + 8
(0.4 + 1.2x) = 2(4 + -2x) + 8
0.4 + 1.2x = (4 * 2 + -2x * 2) + 8
0.4 + 1.2x = (8 + -4x) + 8

Reorder the terms:
0.4 + 1.2x = 8 + 8 + -4x

Combine like terms: 8 + 8 = 16
0.4 + 1.2x = 16 + -4x

Solving
0.4 + 1.2x = 16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
0.4 + 1.2x + 4x = 16 + -4x + 4x

Combine like terms: 1.2x + 4x = 5.2x
0.4 + 5.2x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
0.4 + 5.2x = 16 + 0
0.4 + 5.2x = 16

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 5.2x = 16 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 5.2x = 16 + -0.4
5.2x = 16 + -0.4

Combine like terms: 16 + -0.4 = 15.6
5.2x = 15.6

Divide each side by '5.2'.
x = 3

Simplifying
x = 3

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