5(x-4)+x=6(x+2)-8

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Solution for 5(x-4)+x=6(x+2)-8 equation: 


Simplifying
5(x + -4) + x = 6(x + 2) + -8

Reorder the terms:
5(-4 + x) + x = 6(x + 2) + -8
(-4 * 5 + x * 5) + x = 6(x + 2) + -8
(-20 + 5x) + x = 6(x + 2) + -8

Combine like terms: 5x + x = 6x
-20 + 6x = 6(x + 2) + -8

Reorder the terms:
-20 + 6x = 6(2 + x) + -8
-20 + 6x = (2 * 6 + x * 6) + -8
-20 + 6x = (12 + 6x) + -8

Reorder the terms:
-20 + 6x = 12 + -8 + 6x

Combine like terms: 12 + -8 = 4
-20 + 6x = 4 + 6x

Add '-6x' to each side of the equation.
-20 + 6x + -6x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 0 = 4 + 6x + -6x
-20 = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 = 4 + 0
-20 = 4

Solving
-20 = 4

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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