2x-3(4x-12)=-54

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Solution for 2x-3(4x-12)=-54 equation:


Simplifying
2x + -3(4x + -12) = -54

Reorder the terms:
2x + -3(-12 + 4x) = -54
2x + (-12 * -3 + 4x * -3) = -54
2x + (36 + -12x) = -54

Reorder the terms:
36 + 2x + -12x = -54

Combine like terms: 2x + -12x = -10x
36 + -10x = -54

Solving
36 + -10x = -54

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -10x = -54 + -36

Combine like terms: 36 + -36 = 0
0 + -10x = -54 + -36
-10x = -54 + -36

Combine like terms: -54 + -36 = -90
-10x = -90

Divide each side by '-10'.
x = 9

Simplifying
x = 9

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