x(2)+(x+4)2=x+(x+5)+(x+9)

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Solution for x(2)+(x+4)2=x+(x+5)+(x+9) equation:


Simplifying
x(2) + (x + 4) * 2 = x + (x + 5) + (x + 9)

Reorder the terms for easier multiplication:
2x + (x + 4) * 2 = x + (x + 5) + (x + 9)

Reorder the terms:
2x + (4 + x) * 2 = x + (x + 5) + (x + 9)

Reorder the terms for easier multiplication:
2x + 2(4 + x) = x + (x + 5) + (x + 9)
2x + (4 * 2 + x * 2) = x + (x + 5) + (x + 9)
2x + (8 + 2x) = x + (x + 5) + (x + 9)

Reorder the terms:
8 + 2x + 2x = x + (x + 5) + (x + 9)

Combine like terms: 2x + 2x = 4x
8 + 4x = x + (x + 5) + (x + 9)

Reorder the terms:
8 + 4x = x + (5 + x) + (x + 9)

Remove parenthesis around (5 + x)
8 + 4x = x + 5 + x + (x + 9)

Reorder the terms:
8 + 4x = x + 5 + x + (9 + x)

Remove parenthesis around (9 + x)
8 + 4x = x + 5 + x + 9 + x

Reorder the terms:
8 + 4x = 5 + 9 + x + x + x

Combine like terms: 5 + 9 = 14
8 + 4x = 14 + x + x + x

Combine like terms: x + x = 2x
8 + 4x = 14 + 2x + x

Combine like terms: 2x + x = 3x
8 + 4x = 14 + 3x

Solving
8 + 4x = 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.
8 + 4x + -3x = 14 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = 14 + 0
8 + 1x = 14

Add '-8' to each side of the equation.
8 + -8 + 1x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 14 + -8
1x = 14 + -8

Combine like terms: 14 + -8 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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