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

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


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

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

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

Combine like terms: -12 + 4 = -8
-8 + 2x = x + -4(x + 4)

Reorder the terms:
-8 + 2x = x + -4(4 + x)
-8 + 2x = x + (4 * -4 + x * -4)
-8 + 2x = x + (-16 + -4x)

Reorder the terms:
-8 + 2x = -16 + x + -4x

Combine like terms: x + -4x = -3x
-8 + 2x = -16 + -3x

Solving
-8 + 2x = -16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 2x + 3x = -16 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 5x = -16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 5x = -16 + 0
-8 + 5x = -16

Add '8' to each side of the equation.
-8 + 8 + 5x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -16 + 8
5x = -16 + 8

Combine like terms: -16 + 8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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