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

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


Simplifying
x + (x + 1) + -1(x + 2) + (x + 3) = 0

Reorder the terms:
x + (1 + x) + -1(x + 2) + (x + 3) = 0

Remove parenthesis around (1 + x)
x + 1 + x + -1(x + 2) + (x + 3) = 0

Reorder the terms:
x + 1 + x + -1(2 + x) + (x + 3) = 0
x + 1 + x + (2 * -1 + x * -1) + (x + 3) = 0
x + 1 + x + (-2 + -1x) + (x + 3) = 0

Reorder the terms:
x + 1 + x + -2 + -1x + (3 + x) = 0

Remove parenthesis around (3 + x)
x + 1 + x + -2 + -1x + 3 + x = 0

Reorder the terms:
1 + -2 + 3 + x + x + -1x + x = 0

Combine like terms: 1 + -2 = -1
-1 + 3 + x + x + -1x + x = 0

Combine like terms: -1 + 3 = 2
2 + x + x + -1x + x = 0

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

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

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

Solving
2 + 2x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 0 + -2

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

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

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

Simplifying
x = -1

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