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

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


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

Reorder the terms:
6(-2 + x) = 2(3x + 8) + -6
(-2 * 6 + x * 6) = 2(3x + 8) + -6
(-12 + 6x) = 2(3x + 8) + -6

Reorder the terms:
-12 + 6x = 2(8 + 3x) + -6
-12 + 6x = (8 * 2 + 3x * 2) + -6
-12 + 6x = (16 + 6x) + -6

Reorder the terms:
-12 + 6x = 16 + -6 + 6x

Combine like terms: 16 + -6 = 10
-12 + 6x = 10 + 6x

Add '-6x' to each side of the equation.
-12 + 6x + -6x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 0 = 10 + 6x + -6x
-12 = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 = 10 + 0
-12 = 10

Solving
-12 = 10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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