11.5=4.5+((x-4.5)*2)

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Solution for 11.5=4.5+((x-4.5)*2) equation: 


Simplifying
11.5 = 4.5 + ((x + -4.5) * 2)

Reorder the terms:
11.5 = 4.5 + ((-4.5 + x) * 2)

Reorder the terms for easier multiplication:
11.5 = 4.5 + (2(-4.5 + x))
11.5 = 4.5 + ((-4.5 * 2 + x * 2))
11.5 = 4.5 + ((-9 + 2x))
11.5 = 4.5 + (-9 + 2x)

Remove parenthesis around (-9 + 2x)
11.5 = 4.5 + -9 + 2x

Combine like terms: 4.5 + -9 = -4.5
11.5 = -4.5 + 2x

Solving
11.5 = -4.5 + 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 = -4.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
11.5 + -2x = -4.5 + 0
11.5 + -2x = -4.5

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -2x = -4.5 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -2x = -4.5 + -11.5
-2x = -4.5 + -11.5

Combine like terms: -4.5 + -11.5 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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