4[4-(-3x-8)]=96x+272

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Solution for 4[4-(-3x-8)]=96x+272 equation:


Simplifying
4[4 + -1(-3x + -8)] = 96x + 272

Reorder the terms:
4[4 + -1(-8 + -3x)] = 96x + 272
4[4 + (-8 * -1 + -3x * -1)] = 96x + 272
4[4 + (8 + 3x)] = 96x + 272

Combine like terms: 4 + 8 = 12
4[12 + 3x] = 96x + 272
[12 * 4 + 3x * 4] = 96x + 272
[48 + 12x] = 96x + 272

Reorder the terms:
48 + 12x = 272 + 96x

Solving
48 + 12x = 272 + 96x

Solving for variable 'x'.

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

Add '-96x' to each side of the equation.
48 + 12x + -96x = 272 + 96x + -96x

Combine like terms: 12x + -96x = -84x
48 + -84x = 272 + 96x + -96x

Combine like terms: 96x + -96x = 0
48 + -84x = 272 + 0
48 + -84x = 272

Add '-48' to each side of the equation.
48 + -48 + -84x = 272 + -48

Combine like terms: 48 + -48 = 0
0 + -84x = 272 + -48
-84x = 272 + -48

Combine like terms: 272 + -48 = 224
-84x = 224

Divide each side by '-84'.
x = -2.666666667

Simplifying
x = -2.666666667

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