2x-4(4-3x)=4(x-3)-64

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Solution for 2x-4(4-3x)=4(x-3)-64 equation: 


Simplifying
2x + -4(4 + -3x) = 4(x + -3) + -64
2x + (4 * -4 + -3x * -4) = 4(x + -3) + -64
2x + (-16 + 12x) = 4(x + -3) + -64

Reorder the terms:
-16 + 2x + 12x = 4(x + -3) + -64

Combine like terms: 2x + 12x = 14x
-16 + 14x = 4(x + -3) + -64

Reorder the terms:
-16 + 14x = 4(-3 + x) + -64
-16 + 14x = (-3 * 4 + x * 4) + -64
-16 + 14x = (-12 + 4x) + -64

Reorder the terms:
-16 + 14x = -12 + -64 + 4x

Combine like terms: -12 + -64 = -76
-16 + 14x = -76 + 4x

Solving
-16 + 14x = -76 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 14x + -4x = -76 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-16 + 10x = -76 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 10x = -76 + 0
-16 + 10x = -76

Add '16' to each side of the equation.
-16 + 16 + 10x = -76 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = -76 + 16
10x = -76 + 16

Combine like terms: -76 + 16 = -60
10x = -60

Divide each side by '10'.
x = -6

Simplifying
x = -6

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