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

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


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

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

Reorder the terms:
-8 + -2x = 6(-8 + x)
-8 + -2x = (-8 * 6 + x * 6)
-8 + -2x = (-48 + 6x)

Solving
-8 + -2x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + -2x + -6x = -48 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-8 + -8x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -8x = -48 + 0
-8 + -8x = -48

Add '8' to each side of the equation.
-8 + 8 + -8x = -48 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = -48 + 8
-8x = -48 + 8

Combine like terms: -48 + 8 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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