6[1-(-9x-3)]=486x+168

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Solution for 6[1-(-9x-3)]=486x+168 equation: 


Simplifying
6[1 + -1(-9x + -3)] = 486x + 168

Reorder the terms:
6[1 + -1(-3 + -9x)] = 486x + 168
6[1 + (-3 * -1 + -9x * -1)] = 486x + 168
6[1 + (3 + 9x)] = 486x + 168

Combine like terms: 1 + 3 = 4
6[4 + 9x] = 486x + 168
[4 * 6 + 9x * 6] = 486x + 168
[24 + 54x] = 486x + 168

Reorder the terms:
24 + 54x = 168 + 486x

Solving
24 + 54x = 168 + 486x

Solving for variable 'x'.

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

Add '-486x' to each side of the equation.
24 + 54x + -486x = 168 + 486x + -486x

Combine like terms: 54x + -486x = -432x
24 + -432x = 168 + 486x + -486x

Combine like terms: 486x + -486x = 0
24 + -432x = 168 + 0
24 + -432x = 168

Add '-24' to each side of the equation.
24 + -24 + -432x = 168 + -24

Combine like terms: 24 + -24 = 0
0 + -432x = 168 + -24
-432x = 168 + -24

Combine like terms: 168 + -24 = 144
-432x = 144

Divide each side by '-432'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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