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

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


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

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

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

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

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

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

Combine like terms: -2 + -5 = -7
-7 + x + x + x = 42

Combine like terms: x + x = 2x
-7 + 2x + x = 42

Combine like terms: 2x + x = 3x
-7 + 3x = 42

Solving
-7 + 3x = 42

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 42 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 42 + 7
3x = 42 + 7

Combine like terms: 42 + 7 = 49
3x = 49

Divide each side by '3'.
x = 16.33333333

Simplifying
x = 16.33333333

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