4[3-(2x-8)]=56x+256

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Solution for 4[3-(2x-8)]=56x+256 equation: 


Simplifying
4[3 + -1(2x + -8)] = 56x + 256

Reorder the terms:
4[3 + -1(-8 + 2x)] = 56x + 256
4[3 + (-8 * -1 + 2x * -1)] = 56x + 256
4[3 + (8 + -2x)] = 56x + 256

Combine like terms: 3 + 8 = 11
4[11 + -2x] = 56x + 256
[11 * 4 + -2x * 4] = 56x + 256
[44 + -8x] = 56x + 256

Reorder the terms:
44 + -8x = 256 + 56x

Solving
44 + -8x = 256 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
44 + -8x + -56x = 256 + 56x + -56x

Combine like terms: -8x + -56x = -64x
44 + -64x = 256 + 56x + -56x

Combine like terms: 56x + -56x = 0
44 + -64x = 256 + 0
44 + -64x = 256

Add '-44' to each side of the equation.
44 + -44 + -64x = 256 + -44

Combine like terms: 44 + -44 = 0
0 + -64x = 256 + -44
-64x = 256 + -44

Combine like terms: 256 + -44 = 212
-64x = 212

Divide each side by '-64'.
x = -3.3125

Simplifying
x = -3.3125

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