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

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


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

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

Reorder the terms:
8 + -4x = 6x + -8(2 + x)
8 + -4x = 6x + (2 * -8 + x * -8)
8 + -4x = 6x + (-16 + -8x)

Reorder the terms:
8 + -4x = -16 + 6x + -8x

Combine like terms: 6x + -8x = -2x
8 + -4x = -16 + -2x

Solving
8 + -4x = -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.
8 + -4x + 2x = -16 + -2x + 2x

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

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

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

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

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

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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