0.5(4x+8)=1.1-(x+2)

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Solution for 0.5(4x+8)=1.1-(x+2) equation: 


Simplifying
0.5(4x + 8) = 1.1 + -1(x + 2)

Reorder the terms:
0.5(8 + 4x) = 1.1 + -1(x + 2)
(8 * 0.5 + 4x * 0.5) = 1.1 + -1(x + 2)
(4 + 2x) = 1.1 + -1(x + 2)

Reorder the terms:
4 + 2x = 1.1 + -1(2 + x)
4 + 2x = 1.1 + (2 * -1 + x * -1)
4 + 2x = 1.1 + (-2 + -1x)

Combine like terms: 1.1 + -2 = -0.9
4 + 2x = -0.9 + -1x

Solving
4 + 2x = -0.9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 2x + x = -0.9 + -1x + x

Combine like terms: 2x + x = 3x
4 + 3x = -0.9 + -1x + x

Combine like terms: -1x + x = 0
4 + 3x = -0.9 + 0
4 + 3x = -0.9

Add '-4' to each side of the equation.
4 + -4 + 3x = -0.9 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -0.9 + -4
3x = -0.9 + -4

Combine like terms: -0.9 + -4 = -4.9
3x = -4.9

Divide each side by '3'.
x = -1.633333333

Simplifying
x = -1.633333333

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