3(2x-4)2=-(-5x-4)

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Solution for 3(2x-4)2=-(-5x-4) equation:


Simplifying
3(2x + -4) * 2 = -1(-5x + -4)

Reorder the terms:
3(-4 + 2x) * 2 = -1(-5x + -4)

Reorder the terms for easier multiplication:
3 * 2(-4 + 2x) = -1(-5x + -4)

Multiply 3 * 2
6(-4 + 2x) = -1(-5x + -4)
(-4 * 6 + 2x * 6) = -1(-5x + -4)
(-24 + 12x) = -1(-5x + -4)

Reorder the terms:
-24 + 12x = -1(-4 + -5x)
-24 + 12x = (-4 * -1 + -5x * -1)
-24 + 12x = (4 + 5x)

Solving
-24 + 12x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-24 + 12x + -5x = 4 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-24 + 7x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 7x = 4 + 0
-24 + 7x = 4

Add '24' to each side of the equation.
-24 + 24 + 7x = 4 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 4 + 24
7x = 4 + 24

Combine like terms: 4 + 24 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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