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

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


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

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

Reorder the terms:
-6 + x = 2 + -6(6 + x)
-6 + x = 2 + (6 * -6 + x * -6)
-6 + x = 2 + (-36 + -6x)

Combine like terms: 2 + -36 = -34
-6 + x = -34 + -6x

Solving
-6 + x = -34 + -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.
-6 + x + 6x = -34 + -6x + 6x

Combine like terms: x + 6x = 7x
-6 + 7x = -34 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 7x = -34 + 0
-6 + 7x = -34

Add '6' to each side of the equation.
-6 + 6 + 7x = -34 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -34 + 6
7x = -34 + 6

Combine like terms: -34 + 6 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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