(X-3)+x+((x-3)*3)=38

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Solution for (X-3)+x+((x-3)*3)=38 equation:


Simplifying
(X + -3) + x + ((x + -3) * 3) = 38

Reorder the terms:
(-3 + X) + x + ((x + -3) * 3) = 38

Remove parenthesis around (-3 + X)
-3 + X + x + ((x + -3) * 3) = 38

Reorder the terms:
-3 + X + x + ((-3 + x) * 3) = 38

Reorder the terms for easier multiplication:
-3 + X + x + (3(-3 + x)) = 38
-3 + X + x + ((-3 * 3 + x * 3)) = 38
-3 + X + x + ((-9 + 3x)) = 38
-3 + X + x + (-9 + 3x) = 38

Remove parenthesis around (-9 + 3x)
-3 + X + x + -9 + 3x = 38

Reorder the terms:
-3 + -9 + X + x + 3x = 38

Combine like terms: -3 + -9 = -12
-12 + X + x + 3x = 38

Combine like terms: x + 3x = 4x
-12 + X + 4x = 38

Solving
-12 + X + 4x = 38

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + X + 12 + 4x = 38 + 12

Reorder the terms:
-12 + 12 + X + 4x = 38 + 12

Combine like terms: -12 + 12 = 0
0 + X + 4x = 38 + 12
X + 4x = 38 + 12

Combine like terms: 38 + 12 = 50
X + 4x = 50

Add '-4x' to each side of the equation.
X + 4x + -4x = 50 + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 50 + -4x
X = 50 + -4x

Simplifying
X = 50 + -4x

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