22-(2x-6)=3(2x-6)+6

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Solution for 22-(2x-6)=3(2x-6)+6 equation: 


Simplifying
22 + -1(2x + -6) = 3(2x + -6) + 6

Reorder the terms:
22 + -1(-6 + 2x) = 3(2x + -6) + 6
22 + (-6 * -1 + 2x * -1) = 3(2x + -6) + 6
22 + (6 + -2x) = 3(2x + -6) + 6

Combine like terms: 22 + 6 = 28
28 + -2x = 3(2x + -6) + 6

Reorder the terms:
28 + -2x = 3(-6 + 2x) + 6
28 + -2x = (-6 * 3 + 2x * 3) + 6
28 + -2x = (-18 + 6x) + 6

Reorder the terms:
28 + -2x = -18 + 6 + 6x

Combine like terms: -18 + 6 = -12
28 + -2x = -12 + 6x

Solving
28 + -2x = -12 + 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.
28 + -2x + -6x = -12 + 6x + -6x

Combine like terms: -2x + -6x = -8x
28 + -8x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + -8x = -12 + 0
28 + -8x = -12

Add '-28' to each side of the equation.
28 + -28 + -8x = -12 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = -12 + -28
-8x = -12 + -28

Combine like terms: -12 + -28 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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