4(4x-8)=(x-2)

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Solution for 4(4x-8)=(x-2) equation:


Simplifying
4(4x + -8) = (x + -2)

Reorder the terms:
4(-8 + 4x) = (x + -2)
(-8 * 4 + 4x * 4) = (x + -2)
(-32 + 16x) = (x + -2)

Reorder the terms:
-32 + 16x = (-2 + x)

Remove parenthesis around (-2 + x)
-32 + 16x = -2 + x

Solving
-32 + 16x = -2 + 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.
-32 + 16x + -1x = -2 + x + -1x

Combine like terms: 16x + -1x = 15x
-32 + 15x = -2 + x + -1x

Combine like terms: x + -1x = 0
-32 + 15x = -2 + 0
-32 + 15x = -2

Add '32' to each side of the equation.
-32 + 32 + 15x = -2 + 32

Combine like terms: -32 + 32 = 0
0 + 15x = -2 + 32
15x = -2 + 32

Combine like terms: -2 + 32 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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