(x+2)+(x+3)=15

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Solution for (x+2)+(x+3)=15 equation:


Simplifying
(x + 2) + (x + 3) = 15

Reorder the terms:
(2 + x) + (x + 3) = 15

Remove parenthesis around (2 + x)
2 + x + (x + 3) = 15

Reorder the terms:
2 + x + (3 + x) = 15

Remove parenthesis around (3 + x)
2 + x + 3 + x = 15

Reorder the terms:
2 + 3 + x + x = 15

Combine like terms: 2 + 3 = 5
5 + x + x = 15

Combine like terms: x + x = 2x
5 + 2x = 15

Solving
5 + 2x = 15

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 15 + -5
2x = 15 + -5

Combine like terms: 15 + -5 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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