2(5x+0.5)+2(4x+0.2)=6x+6x-0.2+8x+0.3

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Solution for 2(5x+0.5)+2(4x+0.2)=6x+6x-0.2+8x+0.3 equation: 


Simplifying
2(5x + 0.5) + 2(4x + 0.2) = 6x + 6x + -0.2 + 8x + 0.3

Reorder the terms:
2(0.5 + 5x) + 2(4x + 0.2) = 6x + 6x + -0.2 + 8x + 0.3
(0.5 * 2 + 5x * 2) + 2(4x + 0.2) = 6x + 6x + -0.2 + 8x + 0.3
(1 + 10x) + 2(4x + 0.2) = 6x + 6x + -0.2 + 8x + 0.3

Reorder the terms:
1 + 10x + 2(0.2 + 4x) = 6x + 6x + -0.2 + 8x + 0.3
1 + 10x + (0.2 * 2 + 4x * 2) = 6x + 6x + -0.2 + 8x + 0.3
1 + 10x + (0.4 + 8x) = 6x + 6x + -0.2 + 8x + 0.3

Reorder the terms:
1 + 0.4 + 10x + 8x = 6x + 6x + -0.2 + 8x + 0.3

Combine like terms: 1 + 0.4 = 1.4
1.4 + 10x + 8x = 6x + 6x + -0.2 + 8x + 0.3

Combine like terms: 10x + 8x = 18x
1.4 + 18x = 6x + 6x + -0.2 + 8x + 0.3

Reorder the terms:
1.4 + 18x = -0.2 + 0.3 + 6x + 6x + 8x

Combine like terms: -0.2 + 0.3 = 0.1
1.4 + 18x = 0.1 + 6x + 6x + 8x

Combine like terms: 6x + 6x = 12x
1.4 + 18x = 0.1 + 12x + 8x

Combine like terms: 12x + 8x = 20x
1.4 + 18x = 0.1 + 20x

Solving
1.4 + 18x = 0.1 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1.4 + 18x + -20x = 0.1 + 20x + -20x

Combine like terms: 18x + -20x = -2x
1.4 + -2x = 0.1 + 20x + -20x

Combine like terms: 20x + -20x = 0
1.4 + -2x = 0.1 + 0
1.4 + -2x = 0.1

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -2x = 0.1 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -2x = 0.1 + -1.4
-2x = 0.1 + -1.4

Combine like terms: 0.1 + -1.4 = -1.3
-2x = -1.3

Divide each side by '-2'.
x = 0.65

Simplifying
x = 0.65

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