102=2(6+2x)+2(x)

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Solution for 102=2(6+2x)+2(x) equation: 


Simplifying
102 = 2(6 + 2x) + 2(x)
102 = (6 * 2 + 2x * 2) + 2(x)
102 = (12 + 4x) + 2(x)

Combine like terms: 4x + 2x = 6x
102 = 12 + 6x

Solving
102 = 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.
102 + -6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
102 + -6x = 12 + 0
102 + -6x = 12

Add '-102' to each side of the equation.
102 + -102 + -6x = 12 + -102

Combine like terms: 102 + -102 = 0
0 + -6x = 12 + -102
-6x = 12 + -102

Combine like terms: 12 + -102 = -90
-6x = -90

Divide each side by '-6'.
x = 15

Simplifying
x = 15

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