9[3-(-6x-9)]=108x+189

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Solution for 9[3-(-6x-9)]=108x+189 equation:


Simplifying
9[3 + -1(-6x + -9)] = 108x + 189

Reorder the terms:
9[3 + -1(-9 + -6x)] = 108x + 189
9[3 + (-9 * -1 + -6x * -1)] = 108x + 189
9[3 + (9 + 6x)] = 108x + 189

Combine like terms: 3 + 9 = 12
9[12 + 6x] = 108x + 189
[12 * 9 + 6x * 9] = 108x + 189
[108 + 54x] = 108x + 189

Reorder the terms:
108 + 54x = 189 + 108x

Solving
108 + 54x = 189 + 108x

Solving for variable 'x'.

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

Add '-108x' to each side of the equation.
108 + 54x + -108x = 189 + 108x + -108x

Combine like terms: 54x + -108x = -54x
108 + -54x = 189 + 108x + -108x

Combine like terms: 108x + -108x = 0
108 + -54x = 189 + 0
108 + -54x = 189

Add '-108' to each side of the equation.
108 + -108 + -54x = 189 + -108

Combine like terms: 108 + -108 = 0
0 + -54x = 189 + -108
-54x = 189 + -108

Combine like terms: 189 + -108 = 81
-54x = 81

Divide each side by '-54'.
x = -1.5

Simplifying
x = -1.5

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