6(8-3x)=-(-2x-8)-20

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Solution for 6(8-3x)=-(-2x-8)-20 equation: 


Simplifying
6(8 + -3x) = -1(-2x + -8) + -20
(8 * 6 + -3x * 6) = -1(-2x + -8) + -20
(48 + -18x) = -1(-2x + -8) + -20

Reorder the terms:
48 + -18x = -1(-8 + -2x) + -20
48 + -18x = (-8 * -1 + -2x * -1) + -20
48 + -18x = (8 + 2x) + -20

Reorder the terms:
48 + -18x = 8 + -20 + 2x

Combine like terms: 8 + -20 = -12
48 + -18x = -12 + 2x

Solving
48 + -18x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
48 + -18x + -2x = -12 + 2x + -2x

Combine like terms: -18x + -2x = -20x
48 + -20x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + -20x = -12 + 0
48 + -20x = -12

Add '-48' to each side of the equation.
48 + -48 + -20x = -12 + -48

Combine like terms: 48 + -48 = 0
0 + -20x = -12 + -48
-20x = -12 + -48

Combine like terms: -12 + -48 = -60
-20x = -60

Divide each side by '-20'.
x = 3

Simplifying
x = 3

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