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

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


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

Combine like terms: 2 + 3 = 5
x + (5) = (x + 3) + (x + 4)
x + 5 = (x + 3) + (x + 4)

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

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

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

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

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

Reorder the terms:
5 + x = 3 + 4 + x + x

Combine like terms: 3 + 4 = 7
5 + x = 7 + x + x

Combine like terms: x + x = 2x
5 + x = 7 + 2x

Solving
5 + x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + x + -2x = 7 + 2x + -2x

Combine like terms: x + -2x = -1x
5 + -1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -1x = 7 + 0
5 + -1x = 7

Add '-5' to each side of the equation.
5 + -5 + -1x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 7 + -5
-1x = 7 + -5

Combine like terms: 7 + -5 = 2
-1x = 2

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

Simplifying
x = -2

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