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

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


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

Combine like terms: 2 + 4 = 6
(6) + 2x = (x + 9) + (x + 5) + x
6 + 2x = (x + 9) + (x + 5) + x

Reorder the terms:
6 + 2x = (9 + x) + (x + 5) + x

Remove parenthesis around (9 + x)
6 + 2x = 9 + x + (x + 5) + x

Reorder the terms:
6 + 2x = 9 + x + (5 + x) + x

Remove parenthesis around (5 + x)
6 + 2x = 9 + x + 5 + x + x

Reorder the terms:
6 + 2x = 9 + 5 + x + x + x

Combine like terms: 9 + 5 = 14
6 + 2x = 14 + x + x + x

Combine like terms: x + x = 2x
6 + 2x = 14 + 2x + x

Combine like terms: 2x + x = 3x
6 + 2x = 14 + 3x

Solving
6 + 2x = 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.
6 + 2x + -3x = 14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1x = 14 + 0
6 + -1x = 14

Add '-6' to each side of the equation.
6 + -6 + -1x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 14 + -6
-1x = 14 + -6

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

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

Simplifying
x = -8

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