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

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


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

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

Reorder the terms:
-24 + 12x = 2(-6 + 4x)
-24 + 12x = (-6 * 2 + 4x * 2)
-24 + 12x = (-12 + 8x)

Solving
-24 + 12x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + 12x + -8x = -12 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-24 + 4x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + 4x = -12 + 0
-24 + 4x = -12

Add '24' to each side of the equation.
-24 + 24 + 4x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = -12 + 24
4x = -12 + 24

Combine like terms: -12 + 24 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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