3[3-(-6x-9)]=108x+171

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Solution for 3[3-(-6x-9)]=108x+171 equation: 


Simplifying
3[3 + -1(-6x + -9)] = 108x + 171

Reorder the terms:
3[3 + -1(-9 + -6x)] = 108x + 171
3[3 + (-9 * -1 + -6x * -1)] = 108x + 171
3[3 + (9 + 6x)] = 108x + 171

Combine like terms: 3 + 9 = 12
3[12 + 6x] = 108x + 171
[12 * 3 + 6x * 3] = 108x + 171
[36 + 18x] = 108x + 171

Reorder the terms:
36 + 18x = 171 + 108x

Solving
36 + 18x = 171 + 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.
36 + 18x + -108x = 171 + 108x + -108x

Combine like terms: 18x + -108x = -90x
36 + -90x = 171 + 108x + -108x

Combine like terms: 108x + -108x = 0
36 + -90x = 171 + 0
36 + -90x = 171

Add '-36' to each side of the equation.
36 + -36 + -90x = 171 + -36

Combine like terms: 36 + -36 = 0
0 + -90x = 171 + -36
-90x = 171 + -36

Combine like terms: 171 + -36 = 135
-90x = 135

Divide each side by '-90'.
x = -1.5

Simplifying
x = -1.5

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