6(2-x)-6=2(x-9)

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Solution for 6(2-x)-6=2(x-9) equation:


Simplifying
6(2 + -1x) + -6 = 2(x + -9)
(2 * 6 + -1x * 6) + -6 = 2(x + -9)
(12 + -6x) + -6 = 2(x + -9)

Reorder the terms:
12 + -6 + -6x = 2(x + -9)

Combine like terms: 12 + -6 = 6
6 + -6x = 2(x + -9)

Reorder the terms:
6 + -6x = 2(-9 + x)
6 + -6x = (-9 * 2 + x * 2)
6 + -6x = (-18 + 2x)

Solving
6 + -6x = -18 + 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.
6 + -6x + -2x = -18 + 2x + -2x

Combine like terms: -6x + -2x = -8x
6 + -8x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -8x = -18 + 0
6 + -8x = -18

Add '-6' to each side of the equation.
6 + -6 + -8x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -18 + -6
-8x = -18 + -6

Combine like terms: -18 + -6 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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