x+(x-7)+(x-14)=105

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Solution for x+(x-7)+(x-14)=105 equation:


Simplifying
x + (x + -7) + (x + -14) = 105

Reorder the terms:
x + (-7 + x) + (x + -14) = 105

Remove parenthesis around (-7 + x)
x + -7 + x + (x + -14) = 105

Reorder the terms:
x + -7 + x + (-14 + x) = 105

Remove parenthesis around (-14 + x)
x + -7 + x + -14 + x = 105

Reorder the terms:
-7 + -14 + x + x + x = 105

Combine like terms: -7 + -14 = -21
-21 + x + x + x = 105

Combine like terms: x + x = 2x
-21 + 2x + x = 105

Combine like terms: 2x + x = 3x
-21 + 3x = 105

Solving
-21 + 3x = 105

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 3x = 105 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 105 + 21
3x = 105 + 21

Combine like terms: 105 + 21 = 126
3x = 126

Divide each side by '3'.
x = 42

Simplifying
x = 42

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