0.4(4x+6)=2(1-2x)+6

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Solution for 0.4(4x+6)=2(1-2x)+6 equation: 


Simplifying
0.4(4x + 6) = 2(1 + -2x) + 6

Reorder the terms:
0.4(6 + 4x) = 2(1 + -2x) + 6
(6 * 0.4 + 4x * 0.4) = 2(1 + -2x) + 6
(2.4 + 1.6x) = 2(1 + -2x) + 6
2.4 + 1.6x = (1 * 2 + -2x * 2) + 6
2.4 + 1.6x = (2 + -4x) + 6

Reorder the terms:
2.4 + 1.6x = 2 + 6 + -4x

Combine like terms: 2 + 6 = 8
2.4 + 1.6x = 8 + -4x

Solving
2.4 + 1.6x = 8 + -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.
2.4 + 1.6x + 4x = 8 + -4x + 4x

Combine like terms: 1.6x + 4x = 5.6x
2.4 + 5.6x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
2.4 + 5.6x = 8 + 0
2.4 + 5.6x = 8

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 5.6x = 8 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 5.6x = 8 + -2.4
5.6x = 8 + -2.4

Combine like terms: 8 + -2.4 = 5.6
5.6x = 5.6

Divide each side by '5.6'.
x = 1

Simplifying
x = 1

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