12-6(x+2)=8-2(x+6)

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Solution for 12-6(x+2)=8-2(x+6) equation:


Simplifying
12 + -6(x + 2) = 8 + -2(x + 6)

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

Combine like terms: 12 + -12 = 0
0 + -6x = 8 + -2(x + 6)
-6x = 8 + -2(x + 6)

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

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

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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