9+(9+x)+(9+.5(9+x))=9+(9+x)+(9+.5(9+x))

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Solution for 9+(9+x)+(9+.5(9+x))=9+(9+x)+(9+.5(9+x)) equation:


Simplifying
9 + (9 + x) + (9 + 0.5(9 + x)) = 9 + (9 + x) + (9 + 0.5(9 + x))

Remove parenthesis around (9 + x)
9 + 9 + x + (9 + 0.5(9 + x)) = 9 + (9 + x) + (9 + 0.5(9 + x))
9 + 9 + x + (9 + (9 * 0.5 + x * 0.5)) = 9 + (9 + x) + (9 + 0.5(9 + x))
9 + 9 + x + (9 + (4.5 + 0.5x)) = 9 + (9 + x) + (9 + 0.5(9 + x))

Combine like terms: 9 + 4.5 = 13.5
9 + 9 + x + (13.5 + 0.5x) = 9 + (9 + x) + (9 + 0.5(9 + x))

Remove parenthesis around (13.5 + 0.5x)
9 + 9 + x + 13.5 + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x))

Reorder the terms:
9 + 9 + 13.5 + x + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x))

Combine like terms: 9 + 9 = 18
18 + 13.5 + x + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x))

Combine like terms: 18 + 13.5 = 31.5
31.5 + x + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x))

Combine like terms: x + 0.5x = 1.5x
31.5 + 1.5x = 9 + (9 + x) + (9 + 0.5(9 + x))

Remove parenthesis around (9 + x)
31.5 + 1.5x = 9 + 9 + x + (9 + 0.5(9 + x))
31.5 + 1.5x = 9 + 9 + x + (9 + (9 * 0.5 + x * 0.5))
31.5 + 1.5x = 9 + 9 + x + (9 + (4.5 + 0.5x))

Combine like terms: 9 + 4.5 = 13.5
31.5 + 1.5x = 9 + 9 + x + (13.5 + 0.5x)

Remove parenthesis around (13.5 + 0.5x)
31.5 + 1.5x = 9 + 9 + x + 13.5 + 0.5x

Reorder the terms:
31.5 + 1.5x = 9 + 9 + 13.5 + x + 0.5x

Combine like terms: 9 + 9 = 18
31.5 + 1.5x = 18 + 13.5 + x + 0.5x

Combine like terms: 18 + 13.5 = 31.5
31.5 + 1.5x = 31.5 + x + 0.5x

Combine like terms: x + 0.5x = 1.5x
31.5 + 1.5x = 31.5 + 1.5x

Add '-31.5' to each side of the equation.
31.5 + -31.5 + 1.5x = 31.5 + -31.5 + 1.5x

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + 1.5x = 31.5 + -31.5 + 1.5x
1.5x = 31.5 + -31.5 + 1.5x

Combine like terms: 31.5 + -31.5 = 0.0
1.5x = 0.0 + 1.5x
1.5x = 1.5x

Add '-1.5x' to each side of the equation.
1.5x + -1.5x = 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
0.0 = 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
0.0 = 0.0

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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