-20x-6(2-4x)=2(x-6)-16

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Solution for -20x-6(2-4x)=2(x-6)-16 equation:


Simplifying
-20x + -6(2 + -4x) = 2(x + -6) + -16
-20x + (2 * -6 + -4x * -6) = 2(x + -6) + -16
-20x + (-12 + 24x) = 2(x + -6) + -16

Reorder the terms:
-12 + -20x + 24x = 2(x + -6) + -16

Combine like terms: -20x + 24x = 4x
-12 + 4x = 2(x + -6) + -16

Reorder the terms:
-12 + 4x = 2(-6 + x) + -16
-12 + 4x = (-6 * 2 + x * 2) + -16
-12 + 4x = (-12 + 2x) + -16

Reorder the terms:
-12 + 4x = -12 + -16 + 2x

Combine like terms: -12 + -16 = -28
-12 + 4x = -28 + 2x

Solving
-12 + 4x = -28 + 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.
-12 + 4x + -2x = -28 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-12 + 2x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 2x = -28 + 0
-12 + 2x = -28

Add '12' to each side of the equation.
-12 + 12 + 2x = -28 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -28 + 12
2x = -28 + 12

Combine like terms: -28 + 12 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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