9[1-(-6x-3)]=486x+252

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Solution for 9[1-(-6x-3)]=486x+252 equation: 


Simplifying
9[1 + -1(-6x + -3)] = 486x + 252

Reorder the terms:
9[1 + -1(-3 + -6x)] = 486x + 252
9[1 + (-3 * -1 + -6x * -1)] = 486x + 252
9[1 + (3 + 6x)] = 486x + 252

Combine like terms: 1 + 3 = 4
9[4 + 6x] = 486x + 252
[4 * 9 + 6x * 9] = 486x + 252
[36 + 54x] = 486x + 252

Reorder the terms:
36 + 54x = 252 + 486x

Solving
36 + 54x = 252 + 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.
36 + 54x + -486x = 252 + 486x + -486x

Combine like terms: 54x + -486x = -432x
36 + -432x = 252 + 486x + -486x

Combine like terms: 486x + -486x = 0
36 + -432x = 252 + 0
36 + -432x = 252

Add '-36' to each side of the equation.
36 + -36 + -432x = 252 + -36

Combine like terms: 36 + -36 = 0
0 + -432x = 252 + -36
-432x = 252 + -36

Combine like terms: 252 + -36 = 216
-432x = 216

Divide each side by '-432'.
x = -0.5

Simplifying
x = -0.5

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