3[3-(-5x-6)]=135x+171

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Solution for 3[3-(-5x-6)]=135x+171 equation:


Simplifying
3[3 + -1(-5x + -6)] = 135x + 171

Reorder the terms:
3[3 + -1(-6 + -5x)] = 135x + 171
3[3 + (-6 * -1 + -5x * -1)] = 135x + 171
3[3 + (6 + 5x)] = 135x + 171

Combine like terms: 3 + 6 = 9
3[9 + 5x] = 135x + 171
[9 * 3 + 5x * 3] = 135x + 171
[27 + 15x] = 135x + 171

Reorder the terms:
27 + 15x = 171 + 135x

Solving
27 + 15x = 171 + 135x

Solving for variable 'x'.

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

Add '-135x' to each side of the equation.
27 + 15x + -135x = 171 + 135x + -135x

Combine like terms: 15x + -135x = -120x
27 + -120x = 171 + 135x + -135x

Combine like terms: 135x + -135x = 0
27 + -120x = 171 + 0
27 + -120x = 171

Add '-27' to each side of the equation.
27 + -27 + -120x = 171 + -27

Combine like terms: 27 + -27 = 0
0 + -120x = 171 + -27
-120x = 171 + -27

Combine like terms: 171 + -27 = 144
-120x = 144

Divide each side by '-120'.
x = -1.2

Simplifying
x = -1.2

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