6[3-(-4x-2)]=216x+126

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Solution for 6[3-(-4x-2)]=216x+126 equation: 


Simplifying
6[3 + -1(-4x + -2)] = 216x + 126

Reorder the terms:
6[3 + -1(-2 + -4x)] = 216x + 126
6[3 + (-2 * -1 + -4x * -1)] = 216x + 126
6[3 + (2 + 4x)] = 216x + 126

Combine like terms: 3 + 2 = 5
6[5 + 4x] = 216x + 126
[5 * 6 + 4x * 6] = 216x + 126
[30 + 24x] = 216x + 126

Reorder the terms:
30 + 24x = 126 + 216x

Solving
30 + 24x = 126 + 216x

Solving for variable 'x'.

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

Add '-216x' to each side of the equation.
30 + 24x + -216x = 126 + 216x + -216x

Combine like terms: 24x + -216x = -192x
30 + -192x = 126 + 216x + -216x

Combine like terms: 216x + -216x = 0
30 + -192x = 126 + 0
30 + -192x = 126

Add '-30' to each side of the equation.
30 + -30 + -192x = 126 + -30

Combine like terms: 30 + -30 = 0
0 + -192x = 126 + -30
-192x = 126 + -30

Combine like terms: 126 + -30 = 96
-192x = 96

Divide each side by '-192'.
x = -0.5

Simplifying
x = -0.5

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