X+(x-6)+2(x-6)=54

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Solution for X+(x-6)+2(x-6)=54 equation:


Simplifying
X + (x + -6) + 2(x + -6) = 54

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

Remove parenthesis around (-6 + x)
X + -6 + x + 2(x + -6) = 54

Reorder the terms:
X + -6 + x + 2(-6 + x) = 54
X + -6 + x + (-6 * 2 + x * 2) = 54
X + -6 + x + (-12 + 2x) = 54

Reorder the terms:
-6 + -12 + X + x + 2x = 54

Combine like terms: -6 + -12 = -18
-18 + X + x + 2x = 54

Combine like terms: x + 2x = 3x
-18 + X + 3x = 54

Solving
-18 + X + 3x = 54

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + X + 18 + 3x = 54 + 18

Reorder the terms:
-18 + 18 + X + 3x = 54 + 18

Combine like terms: -18 + 18 = 0
0 + X + 3x = 54 + 18
X + 3x = 54 + 18

Combine like terms: 54 + 18 = 72
X + 3x = 72

Add '-3x' to each side of the equation.
X + 3x + -3x = 72 + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 72 + -3x
X = 72 + -3x

Simplifying
X = 72 + -3x

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