6-3(2x+2)=2(8-x)

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Solution for 6-3(2x+2)=2(8-x) equation:


Simplifying
6 + -3(2x + 2) = 2(8 + -1x)

Reorder the terms:
6 + -3(2 + 2x) = 2(8 + -1x)
6 + (2 * -3 + 2x * -3) = 2(8 + -1x)
6 + (-6 + -6x) = 2(8 + -1x)

Combine like terms: 6 + -6 = 0
0 + -6x = 2(8 + -1x)
-6x = 2(8 + -1x)
-6x = (8 * 2 + -1x * 2)
-6x = (16 + -2x)

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

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

Combine like terms: -2x + 2x = 0
-4x = 16 + 0
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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