4(x-4)-8=(x-6)

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Solution for 4(x-4)-8=(x-6) equation:


Simplifying
4(x + -4) + -8 = (x + -6)

Reorder the terms:
4(-4 + x) + -8 = (x + -6)
(-4 * 4 + x * 4) + -8 = (x + -6)
(-16 + 4x) + -8 = (x + -6)

Reorder the terms:
-16 + -8 + 4x = (x + -6)

Combine like terms: -16 + -8 = -24
-24 + 4x = (x + -6)

Reorder the terms:
-24 + 4x = (-6 + x)

Remove parenthesis around (-6 + x)
-24 + 4x = -6 + x

Solving
-24 + 4x = -6 + 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.
-24 + 4x + -1x = -6 + x + -1x

Combine like terms: 4x + -1x = 3x
-24 + 3x = -6 + x + -1x

Combine like terms: x + -1x = 0
-24 + 3x = -6 + 0
-24 + 3x = -6

Add '24' to each side of the equation.
-24 + 24 + 3x = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -6 + 24
3x = -6 + 24

Combine like terms: -6 + 24 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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