0.5(8x+16)=1.8-(x+2)

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Solution for 0.5(8x+16)=1.8-(x+2) equation:


Simplifying
0.5(8x + 16) = 1.8 + -1(x + 2)

Reorder the terms:
0.5(16 + 8x) = 1.8 + -1(x + 2)
(16 * 0.5 + 8x * 0.5) = 1.8 + -1(x + 2)
(8 + 4x) = 1.8 + -1(x + 2)

Reorder the terms:
8 + 4x = 1.8 + -1(2 + x)
8 + 4x = 1.8 + (2 * -1 + x * -1)
8 + 4x = 1.8 + (-2 + -1x)

Combine like terms: 1.8 + -2 = -0.2
8 + 4x = -0.2 + -1x

Solving
8 + 4x = -0.2 + -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.
8 + 4x + x = -0.2 + -1x + x

Combine like terms: 4x + x = 5x
8 + 5x = -0.2 + -1x + x

Combine like terms: -1x + x = 0
8 + 5x = -0.2 + 0
8 + 5x = -0.2

Add '-8' to each side of the equation.
8 + -8 + 5x = -0.2 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = -0.2 + -8
5x = -0.2 + -8

Combine like terms: -0.2 + -8 = -8.2
5x = -8.2

Divide each side by '5'.
x = -1.64

Simplifying
x = -1.64

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