78=2(6+2x)+2(x)

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Solution for 78=2(6+2x)+2(x) equation: 


Simplifying
78 = 2(6 + 2x) + 2(x)
78 = (6 * 2 + 2x * 2) + 2(x)
78 = (12 + 4x) + 2(x)

Combine like terms: 4x + 2x = 6x
78 = 12 + 6x

Solving
78 = 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.
78 + -6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 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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