3(x-4)-4=(x-8)

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Solution for 3(x-4)-4=(x-8) equation:


Simplifying
3(x + -4) + -4 = (x + -8)

Reorder the terms:
3(-4 + x) + -4 = (x + -8)
(-4 * 3 + x * 3) + -4 = (x + -8)
(-12 + 3x) + -4 = (x + -8)

Reorder the terms:
-12 + -4 + 3x = (x + -8)

Combine like terms: -12 + -4 = -16
-16 + 3x = (x + -8)

Reorder the terms:
-16 + 3x = (-8 + x)

Remove parenthesis around (-8 + x)
-16 + 3x = -8 + x

Solving
-16 + 3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 3x + -1x = -8 + x + -1x

Combine like terms: 3x + -1x = 2x
-16 + 2x = -8 + x + -1x

Combine like terms: x + -1x = 0
-16 + 2x = -8 + 0
-16 + 2x = -8

Add '16' to each side of the equation.
-16 + 16 + 2x = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -8 + 16
2x = -8 + 16

Combine like terms: -8 + 16 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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