11.5=2.5+((x-2.5)*2)

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Solution for 11.5=2.5+((x-2.5)*2) equation: 


Simplifying
11.5 = 2.5 + ((x + -2.5) * 2)

Reorder the terms:
11.5 = 2.5 + ((-2.5 + x) * 2)

Reorder the terms for easier multiplication:
11.5 = 2.5 + (2(-2.5 + x))
11.5 = 2.5 + ((-2.5 * 2 + x * 2))
11.5 = 2.5 + ((-5 + 2x))
11.5 = 2.5 + (-5 + 2x)

Remove parenthesis around (-5 + 2x)
11.5 = 2.5 + -5 + 2x

Combine like terms: 2.5 + -5 = -2.5
11.5 = -2.5 + 2x

Solving
11.5 = -2.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11.5 + -2x = -2.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
11.5 + -2x = -2.5 + 0
11.5 + -2x = -2.5

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -2x = -2.5 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -2x = -2.5 + -11.5
-2x = -2.5 + -11.5

Combine like terms: -2.5 + -11.5 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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