(2x+3)+(2x)+(2x+2)=(2x)+(2x)+(3x+3)

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Solution for (2x+3)+(2x)+(2x+2)=(2x)+(2x)+(3x+3) equation:


Simplifying
(2x + 3) + (2x) + (2x + 2) = (2x) + (2x) + (3x + 3)

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

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

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

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

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

Combine like terms: 3 + 2 = 5
5 + 2x + (2x) + 2x = (2x) + (2x) + (3x + 3)

Combine like terms: 2x + (2x) = 4x
5 + 4x + 2x = (2x) + (2x) + (3x + 3)

Combine like terms: 4x + 2x = 6x
5 + 6x = (2x) + (2x) + (3x + 3)

Reorder the terms:
5 + 6x = (2x) + (2x) + (3 + 3x)

Remove parenthesis around (3 + 3x)
5 + 6x = (2x) + (2x) + 3 + 3x

Reorder the terms:
5 + 6x = 3 + (2x) + (2x) + 3x

Combine like terms: (2x) + (2x) = 4x
5 + 6x = 3 + 4x + 3x

Combine like terms: 4x + 3x = 7x
5 + 6x = 3 + 7x

Solving
5 + 6x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 6x + -7x = 3 + 7x + -7x

Combine like terms: 6x + -7x = -1x
5 + -1x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -1x = 3 + 0
5 + -1x = 3

Add '-5' to each side of the equation.
5 + -5 + -1x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 3 + -5
-1x = 3 + -5

Combine like terms: 3 + -5 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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