6[9-(-3x-3)]=54x+108

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Solution for 6[9-(-3x-3)]=54x+108 equation:


Simplifying
6[9 + -1(-3x + -3)] = 54x + 108

Reorder the terms:
6[9 + -1(-3 + -3x)] = 54x + 108
6[9 + (-3 * -1 + -3x * -1)] = 54x + 108
6[9 + (3 + 3x)] = 54x + 108

Combine like terms: 9 + 3 = 12
6[12 + 3x] = 54x + 108
[12 * 6 + 3x * 6] = 54x + 108
[72 + 18x] = 54x + 108

Reorder the terms:
72 + 18x = 108 + 54x

Solving
72 + 18x = 108 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
72 + 18x + -54x = 108 + 54x + -54x

Combine like terms: 18x + -54x = -36x
72 + -36x = 108 + 54x + -54x

Combine like terms: 54x + -54x = 0
72 + -36x = 108 + 0
72 + -36x = 108

Add '-72' to each side of the equation.
72 + -72 + -36x = 108 + -72

Combine like terms: 72 + -72 = 0
0 + -36x = 108 + -72
-36x = 108 + -72

Combine like terms: 108 + -72 = 36
-36x = 36

Divide each side by '-36'.
x = -1

Simplifying
x = -1

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