(14x-2)+9=(12+8)+(3x-9)

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Solution for (14x-2)+9=(12+8)+(3x-9) equation:


Simplifying
(14x + -2) + 9 = (12 + 8) + (3x + -9)

Reorder the terms:
(-2 + 14x) + 9 = (12 + 8) + (3x + -9)

Remove parenthesis around (-2 + 14x)
-2 + 14x + 9 = (12 + 8) + (3x + -9)

Reorder the terms:
-2 + 9 + 14x = (12 + 8) + (3x + -9)

Combine like terms: -2 + 9 = 7
7 + 14x = (12 + 8) + (3x + -9)

Combine like terms: 12 + 8 = 20
7 + 14x = (20) + (3x + -9)
7 + 14x = 20 + (3x + -9)

Reorder the terms:
7 + 14x = 20 + (-9 + 3x)

Remove parenthesis around (-9 + 3x)
7 + 14x = 20 + -9 + 3x

Combine like terms: 20 + -9 = 11
7 + 14x = 11 + 3x

Solving
7 + 14x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 14x + -3x = 11 + 3x + -3x

Combine like terms: 14x + -3x = 11x
7 + 11x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 11x = 11 + 0
7 + 11x = 11

Add '-7' to each side of the equation.
7 + -7 + 11x = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 11x = 11 + -7
11x = 11 + -7

Combine like terms: 11 + -7 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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