102.5=2(2x-11.75)+2x

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Solution for 102.5=2(2x-11.75)+2x equation: 


Simplifying
102.5 = 2(2x + -11.75) + 2x

Reorder the terms:
102.5 = 2(-11.75 + 2x) + 2x
102.5 = (-11.75 * 2 + 2x * 2) + 2x
102.5 = (-23.5 + 4x) + 2x

Combine like terms: 4x + 2x = 6x
102.5 = -23.5 + 6x

Solving
102.5 = -23.5 + 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.
102.5 + -6x = -23.5 + 6x + -6x

Combine like terms: 6x + -6x = 0
102.5 + -6x = -23.5 + 0
102.5 + -6x = -23.5

Add '-102.5' to each side of the equation.
102.5 + -102.5 + -6x = -23.5 + -102.5

Combine like terms: 102.5 + -102.5 = 0.0
0.0 + -6x = -23.5 + -102.5
-6x = -23.5 + -102.5

Combine like terms: -23.5 + -102.5 = -126
-6x = -126

Divide each side by '-6'.
x = 21

Simplifying
x = 21

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