2x+78=8x+12

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Solution for 2x+78=8x+12 equation:


Simplifying
2x + 78 = 8x + 12

Reorder the terms:
78 + 2x = 8x + 12

Reorder the terms:
78 + 2x = 12 + 8x

Solving
78 + 2x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
78 + 2x + -8x = 12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
78 + -6x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
78 + -6x = 12 + 0
78 + -6x = 12

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

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

Combine like terms: 12 + -78 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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