2(x-7+x)=(x+9)+(x+2)+(x-7)

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Solution for 2(x-7+x)=(x+9)+(x+2)+(x-7) equation: 


Simplifying
2(x + -7 + x) = (x + 9) + (x + 2) + (x + -7)

Reorder the terms:
2(-7 + x + x) = (x + 9) + (x + 2) + (x + -7)

Combine like terms: x + x = 2x
2(-7 + 2x) = (x + 9) + (x + 2) + (x + -7)
(-7 * 2 + 2x * 2) = (x + 9) + (x + 2) + (x + -7)
(-14 + 4x) = (x + 9) + (x + 2) + (x + -7)

Reorder the terms:
-14 + 4x = (9 + x) + (x + 2) + (x + -7)

Remove parenthesis around (9 + x)
-14 + 4x = 9 + x + (x + 2) + (x + -7)

Reorder the terms:
-14 + 4x = 9 + x + (2 + x) + (x + -7)

Remove parenthesis around (2 + x)
-14 + 4x = 9 + x + 2 + x + (x + -7)

Reorder the terms:
-14 + 4x = 9 + x + 2 + x + (-7 + x)

Remove parenthesis around (-7 + x)
-14 + 4x = 9 + x + 2 + x + -7 + x

Reorder the terms:
-14 + 4x = 9 + 2 + -7 + x + x + x

Combine like terms: 9 + 2 = 11
-14 + 4x = 11 + -7 + x + x + x

Combine like terms: 11 + -7 = 4
-14 + 4x = 4 + x + x + x

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

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

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

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

Combine like terms: 3x + -3x = 0
-14 + 1x = 4 + 0
-14 + 1x = 4

Add '14' to each side of the equation.
-14 + 14 + 1x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 4 + 14
1x = 4 + 14

Combine like terms: 4 + 14 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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