.4(8x+16)=1.7-(x+2)

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Solution for .4(8x+16)=1.7-(x+2) equation: 


Simplifying
0.4(8x + 16) = 1.7 + -1(x + 2)

Reorder the terms:
0.4(16 + 8x) = 1.7 + -1(x + 2)
(16 * 0.4 + 8x * 0.4) = 1.7 + -1(x + 2)
(6.4 + 3.2x) = 1.7 + -1(x + 2)

Reorder the terms:
6.4 + 3.2x = 1.7 + -1(2 + x)
6.4 + 3.2x = 1.7 + (2 * -1 + x * -1)
6.4 + 3.2x = 1.7 + (-2 + -1x)

Combine like terms: 1.7 + -2 = -0.3
6.4 + 3.2x = -0.3 + -1x

Solving
6.4 + 3.2x = -0.3 + -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.
6.4 + 3.2x + x = -0.3 + -1x + x

Combine like terms: 3.2x + x = 4.2x
6.4 + 4.2x = -0.3 + -1x + x

Combine like terms: -1x + x = 0
6.4 + 4.2x = -0.3 + 0
6.4 + 4.2x = -0.3

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 4.2x = -0.3 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 4.2x = -0.3 + -6.4
4.2x = -0.3 + -6.4

Combine like terms: -0.3 + -6.4 = -6.7
4.2x = -6.7

Divide each side by '4.2'.
x = -1.595238095

Simplifying
x = -1.595238095

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