8[9-(-3x-8)]=96x+328

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Solution for 8[9-(-3x-8)]=96x+328 equation:


Simplifying
8[9 + -1(-3x + -8)] = 96x + 328

Reorder the terms:
8[9 + -1(-8 + -3x)] = 96x + 328
8[9 + (-8 * -1 + -3x * -1)] = 96x + 328
8[9 + (8 + 3x)] = 96x + 328

Combine like terms: 9 + 8 = 17
8[17 + 3x] = 96x + 328
[17 * 8 + 3x * 8] = 96x + 328
[136 + 24x] = 96x + 328

Reorder the terms:
136 + 24x = 328 + 96x

Solving
136 + 24x = 328 + 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.
136 + 24x + -96x = 328 + 96x + -96x

Combine like terms: 24x + -96x = -72x
136 + -72x = 328 + 96x + -96x

Combine like terms: 96x + -96x = 0
136 + -72x = 328 + 0
136 + -72x = 328

Add '-136' to each side of the equation.
136 + -136 + -72x = 328 + -136

Combine like terms: 136 + -136 = 0
0 + -72x = 328 + -136
-72x = 328 + -136

Combine like terms: 328 + -136 = 192
-72x = 192

Divide each side by '-72'.
x = -2.666666667

Simplifying
x = -2.666666667

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