102=2x+6(3x-13)

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Solution for 102=2x+6(3x-13) equation:


Simplifying
102 = 2x + 6(3x + -13)

Reorder the terms:
102 = 2x + 6(-13 + 3x)
102 = 2x + (-13 * 6 + 3x * 6)
102 = 2x + (-78 + 18x)

Reorder the terms:
102 = -78 + 2x + 18x

Combine like terms: 2x + 18x = 20x
102 = -78 + 20x

Solving
102 = -78 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
102 + -20x = -78 + 20x + -20x

Combine like terms: 20x + -20x = 0
102 + -20x = -78 + 0
102 + -20x = -78

Add '-102' to each side of the equation.
102 + -102 + -20x = -78 + -102

Combine like terms: 102 + -102 = 0
0 + -20x = -78 + -102
-20x = -78 + -102

Combine like terms: -78 + -102 = -180
-20x = -180

Divide each side by '-20'.
x = 9

Simplifying
x = 9

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