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

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


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

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

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

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

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

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

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

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

Combine like terms: 6 + 9 = 15
15 + 3 + x + x + x = (x + 8) + (x + 2)

Combine like terms: 15 + 3 = 18
18 + x + x + x = (x + 8) + (x + 2)

Combine like terms: x + x = 2x
18 + 2x + x = (x + 8) + (x + 2)

Combine like terms: 2x + x = 3x
18 + 3x = (x + 8) + (x + 2)

Reorder the terms:
18 + 3x = (8 + x) + (x + 2)

Remove parenthesis around (8 + x)
18 + 3x = 8 + x + (x + 2)

Reorder the terms:
18 + 3x = 8 + x + (2 + x)

Remove parenthesis around (2 + x)
18 + 3x = 8 + x + 2 + x

Reorder the terms:
18 + 3x = 8 + 2 + x + x

Combine like terms: 8 + 2 = 10
18 + 3x = 10 + x + x

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

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

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

Combine like terms: 2x + -2x = 0
18 + 1x = 10 + 0
18 + 1x = 10

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

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

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

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

Simplifying
x = -8

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