(2x+4)+2x+(2x+3)=2x+(3x+1)+2x

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Solution for (2x+4)+2x+(2x+3)=2x+(3x+1)+2x equation:


Simplifying
(2x + 4) + 2x + (2x + 3) = 2x + (3x + 1) + 2x

Reorder the terms:
(4 + 2x) + 2x + (2x + 3) = 2x + (3x + 1) + 2x

Remove parenthesis around (4 + 2x)
4 + 2x + 2x + (2x + 3) = 2x + (3x + 1) + 2x

Reorder the terms:
4 + 2x + 2x + (3 + 2x) = 2x + (3x + 1) + 2x

Remove parenthesis around (3 + 2x)
4 + 2x + 2x + 3 + 2x = 2x + (3x + 1) + 2x

Reorder the terms:
4 + 3 + 2x + 2x + 2x = 2x + (3x + 1) + 2x

Combine like terms: 4 + 3 = 7
7 + 2x + 2x + 2x = 2x + (3x + 1) + 2x

Combine like terms: 2x + 2x = 4x
7 + 4x + 2x = 2x + (3x + 1) + 2x

Combine like terms: 4x + 2x = 6x
7 + 6x = 2x + (3x + 1) + 2x

Reorder the terms:
7 + 6x = 2x + (1 + 3x) + 2x

Remove parenthesis around (1 + 3x)
7 + 6x = 2x + 1 + 3x + 2x

Reorder the terms:
7 + 6x = 1 + 2x + 3x + 2x

Combine like terms: 2x + 3x = 5x
7 + 6x = 1 + 5x + 2x

Combine like terms: 5x + 2x = 7x
7 + 6x = 1 + 7x

Solving
7 + 6x = 1 + 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.
7 + 6x + -7x = 1 + 7x + -7x

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

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 1 + -7

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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