(2x-14)+x=15-(-9x-5)

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Solution for (2x-14)+x=15-(-9x-5) equation:


Simplifying
(2x + -14) + x = 15 + -1(-9x + -5)

Reorder the terms:
(-14 + 2x) + x = 15 + -1(-9x + -5)

Remove parenthesis around (-14 + 2x)
-14 + 2x + x = 15 + -1(-9x + -5)

Combine like terms: 2x + x = 3x
-14 + 3x = 15 + -1(-9x + -5)

Reorder the terms:
-14 + 3x = 15 + -1(-5 + -9x)
-14 + 3x = 15 + (-5 * -1 + -9x * -1)
-14 + 3x = 15 + (5 + 9x)

Combine like terms: 15 + 5 = 20
-14 + 3x = 20 + 9x

Solving
-14 + 3x = 20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + 3x + -9x = 20 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-14 + -6x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -6x = 20 + 0
-14 + -6x = 20

Add '14' to each side of the equation.
-14 + 14 + -6x = 20 + 14

Combine like terms: -14 + 14 = 0
0 + -6x = 20 + 14
-6x = 20 + 14

Combine like terms: 20 + 14 = 34
-6x = 34

Divide each side by '-6'.
x = -5.666666667

Simplifying
x = -5.666666667

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