X+(x+7)+(x+7-8)=54

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Solution for X+(x+7)+(x+7-8)=54 equation:


Simplifying
X + (x + 7) + (x + 7 + -8) = 54

Reorder the terms:
X + (7 + x) + (x + 7 + -8) = 54

Remove parenthesis around (7 + x)
X + 7 + x + (x + 7 + -8) = 54

Reorder the terms:
X + 7 + x + (7 + -8 + x) = 54

Combine like terms: 7 + -8 = -1
X + 7 + x + (-1 + x) = 54

Remove parenthesis around (-1 + x)
X + 7 + x + -1 + x = 54

Reorder the terms:
7 + -1 + X + x + x = 54

Combine like terms: 7 + -1 = 6
6 + X + x + x = 54

Combine like terms: x + x = 2x
6 + X + 2x = 54

Solving
6 + X + 2x = 54

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X + -6 + 2x = 54 + -6

Reorder the terms:
6 + -6 + X + 2x = 54 + -6

Combine like terms: 6 + -6 = 0
0 + X + 2x = 54 + -6
X + 2x = 54 + -6

Combine like terms: 54 + -6 = 48
X + 2x = 48

Add '-2x' to each side of the equation.
X + 2x + -2x = 48 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 48 + -2x
X = 48 + -2x

Simplifying
X = 48 + -2x

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