2(x-4)-4(x-2x-6)=100

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Solution for 2(x-4)-4(x-2x-6)=100 equation: 


Simplifying
2(x + -4) + -4(x + -2x + -6) = 100

Reorder the terms:
2(-4 + x) + -4(x + -2x + -6) = 100
(-4 * 2 + x * 2) + -4(x + -2x + -6) = 100
(-8 + 2x) + -4(x + -2x + -6) = 100

Reorder the terms:
-8 + 2x + -4(-6 + x + -2x) = 100

Combine like terms: x + -2x = -1x
-8 + 2x + -4(-6 + -1x) = 100
-8 + 2x + (-6 * -4 + -1x * -4) = 100
-8 + 2x + (24 + 4x) = 100

Reorder the terms:
-8 + 24 + 2x + 4x = 100

Combine like terms: -8 + 24 = 16
16 + 2x + 4x = 100

Combine like terms: 2x + 4x = 6x
16 + 6x = 100

Solving
16 + 6x = 100

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 6x = 100 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = 100 + -16
6x = 100 + -16

Combine like terms: 100 + -16 = 84
6x = 84

Divide each side by '6'.
x = 14

Simplifying
x = 14

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