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

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


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

Reorder the terms:
4(-4 + 2x) + -4 = 4(x + -2)
(-4 * 4 + 2x * 4) + -4 = 4(x + -2)
(-16 + 8x) + -4 = 4(x + -2)

Reorder the terms:
-16 + -4 + 8x = 4(x + -2)

Combine like terms: -16 + -4 = -20
-20 + 8x = 4(x + -2)

Reorder the terms:
-20 + 8x = 4(-2 + x)
-20 + 8x = (-2 * 4 + x * 4)
-20 + 8x = (-8 + 4x)

Solving
-20 + 8x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-20 + 8x + -4x = -8 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-20 + 4x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 4x = -8 + 0
-20 + 4x = -8

Add '20' to each side of the equation.
-20 + 20 + 4x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -8 + 20
4x = -8 + 20

Combine like terms: -8 + 20 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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