8(x+2)=(2x+6)-8

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Solution for 8(x+2)=(2x+6)-8 equation: 


Simplifying
8(x + 2) = (2x + 6) + -8

Reorder the terms:
8(2 + x) = (2x + 6) + -8
(2 * 8 + x * 8) = (2x + 6) + -8
(16 + 8x) = (2x + 6) + -8

Reorder the terms:
16 + 8x = (6 + 2x) + -8

Remove parenthesis around (6 + 2x)
16 + 8x = 6 + 2x + -8

Reorder the terms:
16 + 8x = 6 + -8 + 2x

Combine like terms: 6 + -8 = -2
16 + 8x = -2 + 2x

Solving
16 + 8x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 8x + -2x = -2 + 2x + -2x

Combine like terms: 8x + -2x = 6x
16 + 6x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 6x = -2 + 0
16 + 6x = -2

Add '-16' to each side of the equation.
16 + -16 + 6x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = -2 + -16
6x = -2 + -16

Combine like terms: -2 + -16 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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