8(x+8)+x=3(x+2)+6

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Solution for 8(x+8)+x=3(x+2)+6 equation: 


Simplifying
8(x + 8) + x = 3(x + 2) + 6

Reorder the terms:
8(8 + x) + x = 3(x + 2) + 6
(8 * 8 + x * 8) + x = 3(x + 2) + 6
(64 + 8x) + x = 3(x + 2) + 6

Combine like terms: 8x + x = 9x
64 + 9x = 3(x + 2) + 6

Reorder the terms:
64 + 9x = 3(2 + x) + 6
64 + 9x = (2 * 3 + x * 3) + 6
64 + 9x = (6 + 3x) + 6

Reorder the terms:
64 + 9x = 6 + 6 + 3x

Combine like terms: 6 + 6 = 12
64 + 9x = 12 + 3x

Solving
64 + 9x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
64 + 9x + -3x = 12 + 3x + -3x

Combine like terms: 9x + -3x = 6x
64 + 6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
64 + 6x = 12 + 0
64 + 6x = 12

Add '-64' to each side of the equation.
64 + -64 + 6x = 12 + -64

Combine like terms: 64 + -64 = 0
0 + 6x = 12 + -64
6x = 12 + -64

Combine like terms: 12 + -64 = -52
6x = -52

Divide each side by '6'.
x = -8.666666667

Simplifying
x = -8.666666667

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