(X-4)-3(2x+3)=12x-8

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Solution for (X-4)-3(2x+3)=12x-8 equation:


Simplifying
(X + -4) + -3(2x + 3) = 12x + -8

Reorder the terms:
(-4 + X) + -3(2x + 3) = 12x + -8

Remove parenthesis around (-4 + X)
-4 + X + -3(2x + 3) = 12x + -8

Reorder the terms:
-4 + X + -3(3 + 2x) = 12x + -8
-4 + X + (3 * -3 + 2x * -3) = 12x + -8
-4 + X + (-9 + -6x) = 12x + -8

Reorder the terms:
-4 + -9 + X + -6x = 12x + -8

Combine like terms: -4 + -9 = -13
-13 + X + -6x = 12x + -8

Reorder the terms:
-13 + X + -6x = -8 + 12x

Solving
-13 + X + -6x = -8 + 12x

Solving for variable 'X'.

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

Add '13' to each side of the equation.
-13 + X + 13 + -6x = -8 + 13 + 12x

Reorder the terms:
-13 + 13 + X + -6x = -8 + 13 + 12x

Combine like terms: -13 + 13 = 0
0 + X + -6x = -8 + 13 + 12x
X + -6x = -8 + 13 + 12x

Combine like terms: -8 + 13 = 5
X + -6x = 5 + 12x

Add '6x' to each side of the equation.
X + -6x + 6x = 5 + 12x + 6x

Combine like terms: -6x + 6x = 0
X + 0 = 5 + 12x + 6x
X = 5 + 12x + 6x

Combine like terms: 12x + 6x = 18x
X = 5 + 18x

Simplifying
X = 5 + 18x

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