0.2(X+2)+0.8(x+8)+x=11.8

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Solution for 0.2(X+2)+0.8(x+8)+x=11.8 equation: 


Simplifying
0.2(X + 2) + 0.8(x + 8) + x = 11.8

Reorder the terms:
0.2(2 + X) + 0.8(x + 8) + x = 11.8
(2 * 0.2 + X * 0.2) + 0.8(x + 8) + x = 11.8
(0.4 + 0.2X) + 0.8(x + 8) + x = 11.8

Reorder the terms:
0.4 + 0.2X + 0.8(8 + x) + x = 11.8
0.4 + 0.2X + (8 * 0.8 + x * 0.8) + x = 11.8
0.4 + 0.2X + (6.4 + 0.8x) + x = 11.8

Reorder the terms:
0.4 + 6.4 + 0.2X + 0.8x + x = 11.8

Combine like terms: 0.4 + 6.4 = 6.8
6.8 + 0.2X + 0.8x + x = 11.8

Combine like terms: 0.8x + x = 1.8x
6.8 + 0.2X + 1.8x = 11.8

Solving
6.8 + 0.2X + 1.8x = 11.8

Solving for variable 'X'.

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

Add '-6.8' to each side of the equation.
6.8 + 0.2X + -6.8 + 1.8x = 11.8 + -6.8

Reorder the terms:
6.8 + -6.8 + 0.2X + 1.8x = 11.8 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 0.2X + 1.8x = 11.8 + -6.8
0.2X + 1.8x = 11.8 + -6.8

Combine like terms: 11.8 + -6.8 = 5
0.2X + 1.8x = 5

Add '-1.8x' to each side of the equation.
0.2X + 1.8x + -1.8x = 5 + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
0.2X + 0.0 = 5 + -1.8x
0.2X = 5 + -1.8x

Divide each side by '0.2'.
X = 25 + -9x

Simplifying
X = 25 + -9x

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