0.9(8x+16)=1.6-(x+2)

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Solution for 0.9(8x+16)=1.6-(x+2) equation: 


Simplifying
0.9(8x + 16) = 1.6 + -1(x + 2)

Reorder the terms:
0.9(16 + 8x) = 1.6 + -1(x + 2)
(16 * 0.9 + 8x * 0.9) = 1.6 + -1(x + 2)
(14.4 + 7.2x) = 1.6 + -1(x + 2)

Reorder the terms:
14.4 + 7.2x = 1.6 + -1(2 + x)
14.4 + 7.2x = 1.6 + (2 * -1 + x * -1)
14.4 + 7.2x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
14.4 + 7.2x = -0.4 + -1x

Solving
14.4 + 7.2x = -0.4 + -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.
14.4 + 7.2x + x = -0.4 + -1x + x

Combine like terms: 7.2x + x = 8.2x
14.4 + 8.2x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
14.4 + 8.2x = -0.4 + 0
14.4 + 8.2x = -0.4

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 8.2x = -0.4 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 8.2x = -0.4 + -14.4
8.2x = -0.4 + -14.4

Combine like terms: -0.4 + -14.4 = -14.8
8.2x = -14.8

Divide each side by '8.2'.
x = -1.804878049

Simplifying
x = -1.804878049

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