8[4-(-4x-1)]=256x+96

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Solution for 8[4-(-4x-1)]=256x+96 equation: 


Simplifying
8[4 + -1(-4x + -1)] = 256x + 96

Reorder the terms:
8[4 + -1(-1 + -4x)] = 256x + 96
8[4 + (-1 * -1 + -4x * -1)] = 256x + 96
8[4 + (1 + 4x)] = 256x + 96

Combine like terms: 4 + 1 = 5
8[5 + 4x] = 256x + 96
[5 * 8 + 4x * 8] = 256x + 96
[40 + 32x] = 256x + 96

Reorder the terms:
40 + 32x = 96 + 256x

Solving
40 + 32x = 96 + 256x

Solving for variable 'x'.

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

Add '-256x' to each side of the equation.
40 + 32x + -256x = 96 + 256x + -256x

Combine like terms: 32x + -256x = -224x
40 + -224x = 96 + 256x + -256x

Combine like terms: 256x + -256x = 0
40 + -224x = 96 + 0
40 + -224x = 96

Add '-40' to each side of the equation.
40 + -40 + -224x = 96 + -40

Combine like terms: 40 + -40 = 0
0 + -224x = 96 + -40
-224x = 96 + -40

Combine like terms: 96 + -40 = 56
-224x = 56

Divide each side by '-224'.
x = -0.25

Simplifying
x = -0.25

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