X+(x+2)+(x+3)=102

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Solution for X+(x+2)+(x+3)=102 equation:


Simplifying
X + (x + 2) + (x + 3) = 102

Reorder the terms:
X + (2 + x) + (x + 3) = 102

Remove parenthesis around (2 + x)
X + 2 + x + (x + 3) = 102

Reorder the terms:
X + 2 + x + (3 + x) = 102

Remove parenthesis around (3 + x)
X + 2 + x + 3 + x = 102

Reorder the terms:
2 + 3 + X + x + x = 102

Combine like terms: 2 + 3 = 5
5 + X + x + x = 102

Combine like terms: x + x = 2x
5 + X + 2x = 102

Solving
5 + X + 2x = 102

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 + X + -5 + 2x = 102 + -5

Reorder the terms:
5 + -5 + X + 2x = 102 + -5

Combine like terms: 5 + -5 = 0
0 + X + 2x = 102 + -5
X + 2x = 102 + -5

Combine like terms: 102 + -5 = 97
X + 2x = 97

Add '-2x' to each side of the equation.
X + 2x + -2x = 97 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 97 + -2x
X = 97 + -2x

Simplifying
X = 97 + -2x

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