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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
6 + 2x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 2x + -4x = 4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

Combine like terms: 4 + -6 = -2
-2x = -2

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

Simplifying
x = 1

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