x+(x+4)=x+2

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


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

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

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

Reorder the terms:
4 + x + x = x + 2

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

Reorder the terms:
4 + 2x = 2 + x

Solving
4 + 2x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = 2 + x + -1x

Combine like terms: 2x + -1x = 1x
4 + 1x = 2 + x + -1x

Combine like terms: x + -1x = 0
4 + 1x = 2 + 0
4 + 1x = 2

Add '-4' to each side of the equation.
4 + -4 + 1x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 2 + -4
1x = 2 + -4

Combine like terms: 2 + -4 = -2
1x = -2

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

Simplifying
x = -2

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