0.7(8x+16)=1.8-(x-2)

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Solution for 0.7(8x+16)=1.8-(x-2) equation: 


Simplifying
0.7(8x + 16) = 1.8 + -1(x + -2)

Reorder the terms:
0.7(16 + 8x) = 1.8 + -1(x + -2)
(16 * 0.7 + 8x * 0.7) = 1.8 + -1(x + -2)
(11.2 + 5.6x) = 1.8 + -1(x + -2)

Reorder the terms:
11.2 + 5.6x = 1.8 + -1(-2 + x)
11.2 + 5.6x = 1.8 + (-2 * -1 + x * -1)
11.2 + 5.6x = 1.8 + (2 + -1x)

Combine like terms: 1.8 + 2 = 3.8
11.2 + 5.6x = 3.8 + -1x

Solving
11.2 + 5.6x = 3.8 + -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.
11.2 + 5.6x + x = 3.8 + -1x + x

Combine like terms: 5.6x + x = 6.6x
11.2 + 6.6x = 3.8 + -1x + x

Combine like terms: -1x + x = 0
11.2 + 6.6x = 3.8 + 0
11.2 + 6.6x = 3.8

Add '-11.2' to each side of the equation.
11.2 + -11.2 + 6.6x = 3.8 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + 6.6x = 3.8 + -11.2
6.6x = 3.8 + -11.2

Combine like terms: 3.8 + -11.2 = -7.4
6.6x = -7.4

Divide each side by '6.6'.
x = -1.121212121

Simplifying
x = -1.121212121

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