6(x-4)=-2(x+8)

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Solution for 6(x-4)=-2(x+8) equation:


Simplifying
6(x + -4) = -2(x + 8)

Reorder the terms:
6(-4 + x) = -2(x + 8)
(-4 * 6 + x * 6) = -2(x + 8)
(-24 + 6x) = -2(x + 8)

Reorder the terms:
-24 + 6x = -2(8 + x)
-24 + 6x = (8 * -2 + x * -2)
-24 + 6x = (-16 + -2x)

Solving
-24 + 6x = -16 + -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.
-24 + 6x + 2x = -16 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-24 + 8x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 8x = -16 + 0
-24 + 8x = -16

Add '24' to each side of the equation.
-24 + 24 + 8x = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 8x = -16 + 24
8x = -16 + 24

Combine like terms: -16 + 24 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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