9(x+8)+x=3(x+4)+2

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Solution for 9(x+8)+x=3(x+4)+2 equation: 


Simplifying
9(x + 8) + x = 3(x + 4) + 2

Reorder the terms:
9(8 + x) + x = 3(x + 4) + 2
(8 * 9 + x * 9) + x = 3(x + 4) + 2
(72 + 9x) + x = 3(x + 4) + 2

Combine like terms: 9x + x = 10x
72 + 10x = 3(x + 4) + 2

Reorder the terms:
72 + 10x = 3(4 + x) + 2
72 + 10x = (4 * 3 + x * 3) + 2
72 + 10x = (12 + 3x) + 2

Reorder the terms:
72 + 10x = 12 + 2 + 3x

Combine like terms: 12 + 2 = 14
72 + 10x = 14 + 3x

Solving
72 + 10x = 14 + 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.
72 + 10x + -3x = 14 + 3x + -3x

Combine like terms: 10x + -3x = 7x
72 + 7x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
72 + 7x = 14 + 0
72 + 7x = 14

Add '-72' to each side of the equation.
72 + -72 + 7x = 14 + -72

Combine like terms: 72 + -72 = 0
0 + 7x = 14 + -72
7x = 14 + -72

Combine like terms: 14 + -72 = -58
7x = -58

Divide each side by '7'.
x = -8.285714286

Simplifying
x = -8.285714286

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