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

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


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

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

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

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

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

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

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

Combine like terms: 6 + 3 = 9
4 + x = 9 + 2x

Solving
4 + x = 9 + 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.
4 + x + -2x = 9 + 2x + -2x

Combine like terms: x + -2x = -1x
4 + -1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -1x = 9 + 0
4 + -1x = 9

Add '-4' to each side of the equation.
4 + -4 + -1x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 9 + -4
-1x = 9 + -4

Combine like terms: 9 + -4 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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