6x=9(3x-1)-5

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Solution for 6x=9(3x-1)-5 equation:


Simplifying
6x = 9(3x + -1) + -5

Reorder the terms:
6x = 9(-1 + 3x) + -5
6x = (-1 * 9 + 3x * 9) + -5
6x = (-9 + 27x) + -5

Reorder the terms:
6x = -9 + -5 + 27x

Combine like terms: -9 + -5 = -14
6x = -14 + 27x

Solving
6x = -14 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
6x + -27x = -14 + 27x + -27x

Combine like terms: 6x + -27x = -21x
-21x = -14 + 27x + -27x

Combine like terms: 27x + -27x = 0
-21x = -14 + 0
-21x = -14

Divide each side by '-21'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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