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

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


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

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

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

Combine like terms: -8 + -6 = -14
-14 + -2x = -4(x + -4)

Reorder the terms:
-14 + -2x = -4(-4 + x)
-14 + -2x = (-4 * -4 + x * -4)
-14 + -2x = (16 + -4x)

Solving
-14 + -2x = 16 + -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.
-14 + -2x + 4x = 16 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-14 + 2x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 2x = 16 + 0
-14 + 2x = 16

Add '14' to each side of the equation.
-14 + 14 + 2x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 16 + 14
2x = 16 + 14

Combine like terms: 16 + 14 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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