(x+8)+(x+2)=(x+6)+(x+9)+(x+3)

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Solution for (x+8)+(x+2)=(x+6)+(x+9)+(x+3) equation: 


Simplifying
(x + 8) + (x + 2) = (x + 6) + (x + 9) + (x + 3)

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

Remove parenthesis around (8 + x)
8 + x + (x + 2) = (x + 6) + (x + 9) + (x + 3)

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

Remove parenthesis around (2 + x)
8 + x + 2 + x = (x + 6) + (x + 9) + (x + 3)

Reorder the terms:
8 + 2 + x + x = (x + 6) + (x + 9) + (x + 3)

Combine like terms: 8 + 2 = 10
10 + x + x = (x + 6) + (x + 9) + (x + 3)

Combine like terms: x + x = 2x
10 + 2x = (x + 6) + (x + 9) + (x + 3)

Reorder the terms:
10 + 2x = (6 + x) + (x + 9) + (x + 3)

Remove parenthesis around (6 + x)
10 + 2x = 6 + x + (x + 9) + (x + 3)

Reorder the terms:
10 + 2x = 6 + x + (9 + x) + (x + 3)

Remove parenthesis around (9 + x)
10 + 2x = 6 + x + 9 + x + (x + 3)

Reorder the terms:
10 + 2x = 6 + x + 9 + x + (3 + x)

Remove parenthesis around (3 + x)
10 + 2x = 6 + x + 9 + x + 3 + x

Reorder the terms:
10 + 2x = 6 + 9 + 3 + x + x + x

Combine like terms: 6 + 9 = 15
10 + 2x = 15 + 3 + x + x + x

Combine like terms: 15 + 3 = 18
10 + 2x = 18 + x + x + x

Combine like terms: x + x = 2x
10 + 2x = 18 + 2x + x

Combine like terms: 2x + x = 3x
10 + 2x = 18 + 3x

Solving
10 + 2x = 18 + 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.
10 + 2x + -3x = 18 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 18 + 0
10 + -1x = 18

Add '-10' to each side of the equation.
10 + -10 + -1x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 18 + -10
-1x = 18 + -10

Combine like terms: 18 + -10 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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