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

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


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

Reorder the terms:
0.4(1 + 2x) = 2(3 + -3x) + 8
(1 * 0.4 + 2x * 0.4) = 2(3 + -3x) + 8
(0.4 + 0.8x) = 2(3 + -3x) + 8
0.4 + 0.8x = (3 * 2 + -3x * 2) + 8
0.4 + 0.8x = (6 + -6x) + 8

Reorder the terms:
0.4 + 0.8x = 6 + 8 + -6x

Combine like terms: 6 + 8 = 14
0.4 + 0.8x = 14 + -6x

Solving
0.4 + 0.8x = 14 + -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.
0.4 + 0.8x + 6x = 14 + -6x + 6x

Combine like terms: 0.8x + 6x = 6.8x
0.4 + 6.8x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.4 + 6.8x = 14 + 0
0.4 + 6.8x = 14

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 6.8x = 14 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 6.8x = 14 + -0.4
6.8x = 14 + -0.4

Combine like terms: 14 + -0.4 = 13.6
6.8x = 13.6

Divide each side by '6.8'.
x = 2

Simplifying
x = 2

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