X+(x+1)+(x+2)=102

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Solution for X+(x+1)+(x+2)=102 equation:


Simplifying
X + (x + 1) + (x + 2) = 102

Reorder the terms:
X + (1 + x) + (x + 2) = 102

Remove parenthesis around (1 + x)
X + 1 + x + (x + 2) = 102

Reorder the terms:
X + 1 + x + (2 + x) = 102

Remove parenthesis around (2 + x)
X + 1 + x + 2 + x = 102

Reorder the terms:
1 + 2 + X + x + x = 102

Combine like terms: 1 + 2 = 3
3 + X + x + x = 102

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

Solving
3 + X + 2x = 102

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X + -3 + 2x = 102 + -3

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

Combine like terms: 3 + -3 = 0
0 + X + 2x = 102 + -3
X + 2x = 102 + -3

Combine like terms: 102 + -3 = 99
X + 2x = 99

Add '-2x' to each side of the equation.
X + 2x + -2x = 99 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 99 + -2x
X = 99 + -2x

Simplifying
X = 99 + -2x

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