(X-3)-3(x-6)=-5

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Solution for (X-3)-3(x-6)=-5 equation:


Simplifying
(X + -3) + -3(x + -6) = -5

Reorder the terms:
(-3 + X) + -3(x + -6) = -5

Remove parenthesis around (-3 + X)
-3 + X + -3(x + -6) = -5

Reorder the terms:
-3 + X + -3(-6 + x) = -5
-3 + X + (-6 * -3 + x * -3) = -5
-3 + X + (18 + -3x) = -5

Reorder the terms:
-3 + 18 + X + -3x = -5

Combine like terms: -3 + 18 = 15
15 + X + -3x = -5

Solving
15 + X + -3x = -5

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X + -15 + -3x = -5 + -15

Reorder the terms:
15 + -15 + X + -3x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + X + -3x = -5 + -15
X + -3x = -5 + -15

Combine like terms: -5 + -15 = -20
X + -3x = -20

Add '3x' to each side of the equation.
X + -3x + 3x = -20 + 3x

Combine like terms: -3x + 3x = 0
X + 0 = -20 + 3x
X = -20 + 3x

Simplifying
X = -20 + 3x

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