6x+3(x+9)=9x+9(3x-3)

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


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

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

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

Combine like terms: 6x + 3x = 9x
27 + 9x = 9x + 9(3x + -3)

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

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

Combine like terms: 9x + 27x = 36x
27 + 9x = -27 + 36x

Solving
27 + 9x = -27 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
27 + 9x + -36x = -27 + 36x + -36x

Combine like terms: 9x + -36x = -27x
27 + -27x = -27 + 36x + -36x

Combine like terms: 36x + -36x = 0
27 + -27x = -27 + 0
27 + -27x = -27

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

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

Combine like terms: -27 + -27 = -54
-27x = -54

Divide each side by '-27'.
x = 2

Simplifying
x = 2

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