0.4(3x+12)=2(2-4x)+10

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Solution for 0.4(3x+12)=2(2-4x)+10 equation: 


Simplifying
0.4(3x + 12) = 2(2 + -4x) + 10

Reorder the terms:
0.4(12 + 3x) = 2(2 + -4x) + 10
(12 * 0.4 + 3x * 0.4) = 2(2 + -4x) + 10
(4.8 + 1.2x) = 2(2 + -4x) + 10
4.8 + 1.2x = (2 * 2 + -4x * 2) + 10
4.8 + 1.2x = (4 + -8x) + 10

Reorder the terms:
4.8 + 1.2x = 4 + 10 + -8x

Combine like terms: 4 + 10 = 14
4.8 + 1.2x = 14 + -8x

Solving
4.8 + 1.2x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
4.8 + 1.2x + 8x = 14 + -8x + 8x

Combine like terms: 1.2x + 8x = 9.2x
4.8 + 9.2x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
4.8 + 9.2x = 14 + 0
4.8 + 9.2x = 14

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 9.2x = 14 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 9.2x = 14 + -4.8
9.2x = 14 + -4.8

Combine like terms: 14 + -4.8 = 9.2
9.2x = 9.2

Divide each side by '9.2'.
x = 1

Simplifying
x = 1

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