2(2x-1)+2(x+2)=(x+7)+(2x+5)+(2x+7)

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Solution for 2(2x-1)+2(x+2)=(x+7)+(2x+5)+(2x+7) equation: 


Simplifying
2(2x + -1) + 2(x + 2) = (x + 7) + (2x + 5) + (2x + 7)

Reorder the terms:
2(-1 + 2x) + 2(x + 2) = (x + 7) + (2x + 5) + (2x + 7)
(-1 * 2 + 2x * 2) + 2(x + 2) = (x + 7) + (2x + 5) + (2x + 7)
(-2 + 4x) + 2(x + 2) = (x + 7) + (2x + 5) + (2x + 7)

Reorder the terms:
-2 + 4x + 2(2 + x) = (x + 7) + (2x + 5) + (2x + 7)
-2 + 4x + (2 * 2 + x * 2) = (x + 7) + (2x + 5) + (2x + 7)
-2 + 4x + (4 + 2x) = (x + 7) + (2x + 5) + (2x + 7)

Reorder the terms:
-2 + 4 + 4x + 2x = (x + 7) + (2x + 5) + (2x + 7)

Combine like terms: -2 + 4 = 2
2 + 4x + 2x = (x + 7) + (2x + 5) + (2x + 7)

Combine like terms: 4x + 2x = 6x
2 + 6x = (x + 7) + (2x + 5) + (2x + 7)

Reorder the terms:
2 + 6x = (7 + x) + (2x + 5) + (2x + 7)

Remove parenthesis around (7 + x)
2 + 6x = 7 + x + (2x + 5) + (2x + 7)

Reorder the terms:
2 + 6x = 7 + x + (5 + 2x) + (2x + 7)

Remove parenthesis around (5 + 2x)
2 + 6x = 7 + x + 5 + 2x + (2x + 7)

Reorder the terms:
2 + 6x = 7 + x + 5 + 2x + (7 + 2x)

Remove parenthesis around (7 + 2x)
2 + 6x = 7 + x + 5 + 2x + 7 + 2x

Reorder the terms:
2 + 6x = 7 + 5 + 7 + x + 2x + 2x

Combine like terms: 7 + 5 = 12
2 + 6x = 12 + 7 + x + 2x + 2x

Combine like terms: 12 + 7 = 19
2 + 6x = 19 + x + 2x + 2x

Combine like terms: x + 2x = 3x
2 + 6x = 19 + 3x + 2x

Combine like terms: 3x + 2x = 5x
2 + 6x = 19 + 5x

Solving
2 + 6x = 19 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
2 + 6x + -5x = 19 + 5x + -5x

Combine like terms: 6x + -5x = 1x
2 + 1x = 19 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 1x = 19 + 0
2 + 1x = 19

Add '-2' to each side of the equation.
2 + -2 + 1x = 19 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 19 + -2
1x = 19 + -2

Combine like terms: 19 + -2 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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