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

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


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

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

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

Combine like terms: -8 + 12 = 4
-4 + 2x = 4 + -6x

Solving
-4 + 2x = 4 + -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.
-4 + 2x + 6x = 4 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-4 + 8x = 4 + 0
-4 + 8x = 4

Add '4' to each side of the equation.
-4 + 4 + 8x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 4 + 4
8x = 4 + 4

Combine like terms: 4 + 4 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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