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

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


Simplifying
6(x + -2) + -8 = -4(6 + -1x)

Reorder the terms:
6(-2 + x) + -8 = -4(6 + -1x)
(-2 * 6 + x * 6) + -8 = -4(6 + -1x)
(-12 + 6x) + -8 = -4(6 + -1x)

Reorder the terms:
-12 + -8 + 6x = -4(6 + -1x)

Combine like terms: -12 + -8 = -20
-20 + 6x = -4(6 + -1x)
-20 + 6x = (6 * -4 + -1x * -4)
-20 + 6x = (-24 + 4x)

Solving
-20 + 6x = -24 + 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.
-20 + 6x + -4x = -24 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-20 + 2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 2x = -24 + 0
-20 + 2x = -24

Add '20' to each side of the equation.
-20 + 20 + 2x = -24 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = -24 + 20
2x = -24 + 20

Combine like terms: -24 + 20 = -4
2x = -4

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

Simplifying
x = -2

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