6x-96=12x+78

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Solution for 6x-96=12x+78 equation:


Simplifying
6x + -96 = 12x + 78

Reorder the terms:
-96 + 6x = 12x + 78

Reorder the terms:
-96 + 6x = 78 + 12x

Solving
-96 + 6x = 78 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-96 + 6x + -12x = 78 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-96 + -6x = 78 + 12x + -12x

Combine like terms: 12x + -12x = 0
-96 + -6x = 78 + 0
-96 + -6x = 78

Add '96' to each side of the equation.
-96 + 96 + -6x = 78 + 96

Combine like terms: -96 + 96 = 0
0 + -6x = 78 + 96
-6x = 78 + 96

Combine like terms: 78 + 96 = 174
-6x = 174

Divide each side by '-6'.
x = -29

Simplifying
x = -29

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