6[6-(-2x-5)]=108x+306

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Solution for 6[6-(-2x-5)]=108x+306 equation:


Simplifying
6[6 + -1(-2x + -5)] = 108x + 306

Reorder the terms:
6[6 + -1(-5 + -2x)] = 108x + 306
6[6 + (-5 * -1 + -2x * -1)] = 108x + 306
6[6 + (5 + 2x)] = 108x + 306

Combine like terms: 6 + 5 = 11
6[11 + 2x] = 108x + 306
[11 * 6 + 2x * 6] = 108x + 306
[66 + 12x] = 108x + 306

Reorder the terms:
66 + 12x = 306 + 108x

Solving
66 + 12x = 306 + 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.
66 + 12x + -108x = 306 + 108x + -108x

Combine like terms: 12x + -108x = -96x
66 + -96x = 306 + 108x + -108x

Combine like terms: 108x + -108x = 0
66 + -96x = 306 + 0
66 + -96x = 306

Add '-66' to each side of the equation.
66 + -66 + -96x = 306 + -66

Combine like terms: 66 + -66 = 0
0 + -96x = 306 + -66
-96x = 306 + -66

Combine like terms: 306 + -66 = 240
-96x = 240

Divide each side by '-96'.
x = -2.5

Simplifying
x = -2.5

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