(7x-2)+(7x-14)+(9x-11)=295

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Solution for (7x-2)+(7x-14)+(9x-11)=295 equation:


Simplifying
(7x + -2) + (7x + -14) + (9x + -11) = 295

Reorder the terms:
(-2 + 7x) + (7x + -14) + (9x + -11) = 295

Remove parenthesis around (-2 + 7x)
-2 + 7x + (7x + -14) + (9x + -11) = 295

Reorder the terms:
-2 + 7x + (-14 + 7x) + (9x + -11) = 295

Remove parenthesis around (-14 + 7x)
-2 + 7x + -14 + 7x + (9x + -11) = 295

Reorder the terms:
-2 + 7x + -14 + 7x + (-11 + 9x) = 295

Remove parenthesis around (-11 + 9x)
-2 + 7x + -14 + 7x + -11 + 9x = 295

Reorder the terms:
-2 + -14 + -11 + 7x + 7x + 9x = 295

Combine like terms: -2 + -14 = -16
-16 + -11 + 7x + 7x + 9x = 295

Combine like terms: -16 + -11 = -27
-27 + 7x + 7x + 9x = 295

Combine like terms: 7x + 7x = 14x
-27 + 14x + 9x = 295

Combine like terms: 14x + 9x = 23x
-27 + 23x = 295

Solving
-27 + 23x = 295

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 23x = 295 + 27

Combine like terms: -27 + 27 = 0
0 + 23x = 295 + 27
23x = 295 + 27

Combine like terms: 295 + 27 = 322
23x = 322

Divide each side by '23'.
x = 14

Simplifying
x = 14

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