6[8-(-6x-4)]=108x+120

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Solution for 6[8-(-6x-4)]=108x+120 equation:


Simplifying
6[8 + -1(-6x + -4)] = 108x + 120

Reorder the terms:
6[8 + -1(-4 + -6x)] = 108x + 120
6[8 + (-4 * -1 + -6x * -1)] = 108x + 120
6[8 + (4 + 6x)] = 108x + 120

Combine like terms: 8 + 4 = 12
6[12 + 6x] = 108x + 120
[12 * 6 + 6x * 6] = 108x + 120
[72 + 36x] = 108x + 120

Reorder the terms:
72 + 36x = 120 + 108x

Solving
72 + 36x = 120 + 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.
72 + 36x + -108x = 120 + 108x + -108x

Combine like terms: 36x + -108x = -72x
72 + -72x = 120 + 108x + -108x

Combine like terms: 108x + -108x = 0
72 + -72x = 120 + 0
72 + -72x = 120

Add '-72' to each side of the equation.
72 + -72 + -72x = 120 + -72

Combine like terms: 72 + -72 = 0
0 + -72x = 120 + -72
-72x = 120 + -72

Combine like terms: 120 + -72 = 48
-72x = 48

Divide each side by '-72'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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