(2x+5)+(2x)+(2x+4)=(2x)+(2x)+(3x+2)

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Solution for (2x+5)+(2x)+(2x+4)=(2x)+(2x)+(3x+2) equation:


Simplifying
(2x + 5) + (2x) + (2x + 4) = (2x) + (2x) + (3x + 2)

Reorder the terms:
(5 + 2x) + (2x) + (2x + 4) = (2x) + (2x) + (3x + 2)

Remove parenthesis around (5 + 2x)
5 + 2x + (2x) + (2x + 4) = (2x) + (2x) + (3x + 2)

Reorder the terms:
5 + 2x + (2x) + (4 + 2x) = (2x) + (2x) + (3x + 2)

Remove parenthesis around (4 + 2x)
5 + 2x + (2x) + 4 + 2x = (2x) + (2x) + (3x + 2)

Reorder the terms:
5 + 4 + 2x + (2x) + 2x = (2x) + (2x) + (3x + 2)

Combine like terms: 5 + 4 = 9
9 + 2x + (2x) + 2x = (2x) + (2x) + (3x + 2)

Combine like terms: 2x + (2x) = 4x
9 + 4x + 2x = (2x) + (2x) + (3x + 2)

Combine like terms: 4x + 2x = 6x
9 + 6x = (2x) + (2x) + (3x + 2)

Reorder the terms:
9 + 6x = (2x) + (2x) + (2 + 3x)

Remove parenthesis around (2 + 3x)
9 + 6x = (2x) + (2x) + 2 + 3x

Reorder the terms:
9 + 6x = 2 + (2x) + (2x) + 3x

Combine like terms: (2x) + (2x) = 4x
9 + 6x = 2 + 4x + 3x

Combine like terms: 4x + 3x = 7x
9 + 6x = 2 + 7x

Solving
9 + 6x = 2 + 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.
9 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
9 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -1x = 2 + 0
9 + -1x = 2

Add '-9' to each side of the equation.
9 + -9 + -1x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 2 + -9
-1x = 2 + -9

Combine like terms: 2 + -9 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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