(2x-4)=6(x-12)

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Solution for (2x-4)=6(x-12) equation:


Simplifying
(2x + -4) = 6(x + -12)

Reorder the terms:
(-4 + 2x) = 6(x + -12)

Remove parenthesis around (-4 + 2x)
-4 + 2x = 6(x + -12)

Reorder the terms:
-4 + 2x = 6(-12 + x)
-4 + 2x = (-12 * 6 + x * 6)
-4 + 2x = (-72 + 6x)

Solving
-4 + 2x = -72 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 2x + -6x = -72 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-4 + -4x = -72 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -4x = -72 + 0
-4 + -4x = -72

Add '4' to each side of the equation.
-4 + 4 + -4x = -72 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = -72 + 4
-4x = -72 + 4

Combine like terms: -72 + 4 = -68
-4x = -68

Divide each side by '-4'.
x = 17

Simplifying
x = 17

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