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

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


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

Reorder the terms:
6(-4 + 2x) = 6(6x + 2)
(-4 * 6 + 2x * 6) = 6(6x + 2)
(-24 + 12x) = 6(6x + 2)

Reorder the terms:
-24 + 12x = 6(2 + 6x)
-24 + 12x = (2 * 6 + 6x * 6)
-24 + 12x = (12 + 36x)

Solving
-24 + 12x = 12 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-24 + 12x + -36x = 12 + 36x + -36x

Combine like terms: 12x + -36x = -24x
-24 + -24x = 12 + 36x + -36x

Combine like terms: 36x + -36x = 0
-24 + -24x = 12 + 0
-24 + -24x = 12

Add '24' to each side of the equation.
-24 + 24 + -24x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -24x = 12 + 24
-24x = 12 + 24

Combine like terms: 12 + 24 = 36
-24x = 36

Divide each side by '-24'.
x = -1.5

Simplifying
x = -1.5

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