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

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


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

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

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

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

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

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

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

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

Solving
1 + 2x = 5 + 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.
1 + 2x + -1x = 5 + x + -1x

Combine like terms: 2x + -1x = 1x
1 + 1x = 5 + x + -1x

Combine like terms: x + -1x = 0
1 + 1x = 5 + 0
1 + 1x = 5

Add '-1' to each side of the equation.
1 + -1 + 1x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 5 + -1
1x = 5 + -1

Combine like terms: 5 + -1 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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