6(2x-4)-5x=5(6-4x)

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Solution for 6(2x-4)-5x=5(6-4x) equation:


Simplifying
6(2x + -4) + -5x = 5(6 + -4x)

Reorder the terms:
6(-4 + 2x) + -5x = 5(6 + -4x)
(-4 * 6 + 2x * 6) + -5x = 5(6 + -4x)
(-24 + 12x) + -5x = 5(6 + -4x)

Combine like terms: 12x + -5x = 7x
-24 + 7x = 5(6 + -4x)
-24 + 7x = (6 * 5 + -4x * 5)
-24 + 7x = (30 + -20x)

Solving
-24 + 7x = 30 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-24 + 7x + 20x = 30 + -20x + 20x

Combine like terms: 7x + 20x = 27x
-24 + 27x = 30 + -20x + 20x

Combine like terms: -20x + 20x = 0
-24 + 27x = 30 + 0
-24 + 27x = 30

Add '24' to each side of the equation.
-24 + 24 + 27x = 30 + 24

Combine like terms: -24 + 24 = 0
0 + 27x = 30 + 24
27x = 30 + 24

Combine like terms: 30 + 24 = 54
27x = 54

Divide each side by '27'.
x = 2

Simplifying
x = 2

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