4(2x-4)-4=4(x-4)+12

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Solution for 4(2x-4)-4=4(x-4)+12 equation:


Simplifying
4(2x + -4) + -4 = 4(x + -4) + 12

Reorder the terms:
4(-4 + 2x) + -4 = 4(x + -4) + 12
(-4 * 4 + 2x * 4) + -4 = 4(x + -4) + 12
(-16 + 8x) + -4 = 4(x + -4) + 12

Reorder the terms:
-16 + -4 + 8x = 4(x + -4) + 12

Combine like terms: -16 + -4 = -20
-20 + 8x = 4(x + -4) + 12

Reorder the terms:
-20 + 8x = 4(-4 + x) + 12
-20 + 8x = (-4 * 4 + x * 4) + 12
-20 + 8x = (-16 + 4x) + 12

Reorder the terms:
-20 + 8x = -16 + 12 + 4x

Combine like terms: -16 + 12 = -4
-20 + 8x = -4 + 4x

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

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

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

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

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

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

Divide each side by '4'.
x = 4

Simplifying
x = 4

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