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

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


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

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

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

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

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

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

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

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

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

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

Multiply 2 * 2
7 + 6x = 4x + (3x + 1)

Reorder the terms:
7 + 6x = 4x + (1 + 3x)

Remove parenthesis around (1 + 3x)
7 + 6x = 4x + 1 + 3x

Reorder the terms:
7 + 6x = 1 + 4x + 3x

Combine like terms: 4x + 3x = 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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