6-6(x-8)=-4-(x-2)

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Solution for 6-6(x-8)=-4-(x-2) equation:


Simplifying
6 + -6(x + -8) = -4 + -1(x + -2)

Reorder the terms:
6 + -6(-8 + x) = -4 + -1(x + -2)
6 + (-8 * -6 + x * -6) = -4 + -1(x + -2)
6 + (48 + -6x) = -4 + -1(x + -2)

Combine like terms: 6 + 48 = 54
54 + -6x = -4 + -1(x + -2)

Reorder the terms:
54 + -6x = -4 + -1(-2 + x)
54 + -6x = -4 + (-2 * -1 + x * -1)
54 + -6x = -4 + (2 + -1x)

Combine like terms: -4 + 2 = -2
54 + -6x = -2 + -1x

Solving
54 + -6x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
54 + -6x + x = -2 + -1x + x

Combine like terms: -6x + x = -5x
54 + -5x = -2 + -1x + x

Combine like terms: -1x + x = 0
54 + -5x = -2 + 0
54 + -5x = -2

Add '-54' to each side of the equation.
54 + -54 + -5x = -2 + -54

Combine like terms: 54 + -54 = 0
0 + -5x = -2 + -54
-5x = -2 + -54

Combine like terms: -2 + -54 = -56
-5x = -56

Divide each side by '-5'.
x = 11.2

Simplifying
x = 11.2

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