X+(x+5)+(x-2)=42

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Solution for X+(x+5)+(x-2)=42 equation:


Simplifying
X + (x + 5) + (x + -2) = 42

Reorder the terms:
X + (5 + x) + (x + -2) = 42

Remove parenthesis around (5 + x)
X + 5 + x + (x + -2) = 42

Reorder the terms:
X + 5 + x + (-2 + x) = 42

Remove parenthesis around (-2 + x)
X + 5 + x + -2 + x = 42

Reorder the terms:
5 + -2 + X + x + x = 42

Combine like terms: 5 + -2 = 3
3 + X + x + x = 42

Combine like terms: x + x = 2x
3 + X + 2x = 42

Solving
3 + X + 2x = 42

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 = 42 + -3

Reorder the terms:
3 + -3 + X + 2x = 42 + -3

Combine like terms: 3 + -3 = 0
0 + X + 2x = 42 + -3
X + 2x = 42 + -3

Combine like terms: 42 + -3 = 39
X + 2x = 39

Add '-2x' to each side of the equation.
X + 2x + -2x = 39 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 39 + -2x
X = 39 + -2x

Simplifying
X = 39 + -2x

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