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

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


Simplifying
2x + 4 = 4(3x + -4)

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

Reorder the terms:
4 + 2x = 4(-4 + 3x)
4 + 2x = (-4 * 4 + 3x * 4)
4 + 2x = (-16 + 12x)

Solving
4 + 2x = -16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4 + 2x + -12x = -16 + 12x + -12x

Combine like terms: 2x + -12x = -10x
4 + -10x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -10x = -16 + 0
4 + -10x = -16

Add '-4' to each side of the equation.
4 + -4 + -10x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -16 + -4
-10x = -16 + -4

Combine like terms: -16 + -4 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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