3x-6(4x+12)=33

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Solution for 3x-6(4x+12)=33 equation:


Simplifying
3x + -6(4x + 12) = 33

Reorder the terms:
3x + -6(12 + 4x) = 33
3x + (12 * -6 + 4x * -6) = 33
3x + (-72 + -24x) = 33

Reorder the terms:
-72 + 3x + -24x = 33

Combine like terms: 3x + -24x = -21x
-72 + -21x = 33

Solving
-72 + -21x = 33

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + -21x = 33 + 72

Combine like terms: -72 + 72 = 0
0 + -21x = 33 + 72
-21x = 33 + 72

Combine like terms: 33 + 72 = 105
-21x = 105

Divide each side by '-21'.
x = -5

Simplifying
x = -5

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