102=-4(3x-6)-6

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Solution for 102=-4(3x-6)-6 equation:


Simplifying
102 = -4(3x + -6) + -6

Reorder the terms:
102 = -4(-6 + 3x) + -6
102 = (-6 * -4 + 3x * -4) + -6
102 = (24 + -12x) + -6

Reorder the terms:
102 = 24 + -6 + -12x

Combine like terms: 24 + -6 = 18
102 = 18 + -12x

Solving
102 = 18 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
102 + 12x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
102 + 12x = 18 + 0
102 + 12x = 18

Add '-102' to each side of the equation.
102 + -102 + 12x = 18 + -102

Combine like terms: 102 + -102 = 0
0 + 12x = 18 + -102
12x = 18 + -102

Combine like terms: 18 + -102 = -84
12x = -84

Divide each side by '12'.
x = -7

Simplifying
x = -7

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