4(2x-8)+1=4-4(x-1)

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Solution for 4(2x-8)+1=4-4(x-1) equation: 


Simplifying
4(2x + -8) + 1 = 4 + -4(x + -1)

Reorder the terms:
4(-8 + 2x) + 1 = 4 + -4(x + -1)
(-8 * 4 + 2x * 4) + 1 = 4 + -4(x + -1)
(-32 + 8x) + 1 = 4 + -4(x + -1)

Reorder the terms:
-32 + 1 + 8x = 4 + -4(x + -1)

Combine like terms: -32 + 1 = -31
-31 + 8x = 4 + -4(x + -1)

Reorder the terms:
-31 + 8x = 4 + -4(-1 + x)
-31 + 8x = 4 + (-1 * -4 + x * -4)
-31 + 8x = 4 + (4 + -4x)

Combine like terms: 4 + 4 = 8
-31 + 8x = 8 + -4x

Solving
-31 + 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.
-31 + 8x + 4x = 8 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-31 + 12x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-31 + 12x = 8 + 0
-31 + 12x = 8

Add '31' to each side of the equation.
-31 + 31 + 12x = 8 + 31

Combine like terms: -31 + 31 = 0
0 + 12x = 8 + 31
12x = 8 + 31

Combine like terms: 8 + 31 = 39
12x = 39

Divide each side by '12'.
x = 3.25

Simplifying
x = 3.25

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