8[8-(-3x-6)]=120x+304

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Solution for 8[8-(-3x-6)]=120x+304 equation:


Simplifying
8[8 + -1(-3x + -6)] = 120x + 304

Reorder the terms:
8[8 + -1(-6 + -3x)] = 120x + 304
8[8 + (-6 * -1 + -3x * -1)] = 120x + 304
8[8 + (6 + 3x)] = 120x + 304

Combine like terms: 8 + 6 = 14
8[14 + 3x] = 120x + 304
[14 * 8 + 3x * 8] = 120x + 304
[112 + 24x] = 120x + 304

Reorder the terms:
112 + 24x = 304 + 120x

Solving
112 + 24x = 304 + 120x

Solving for variable 'x'.

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

Add '-120x' to each side of the equation.
112 + 24x + -120x = 304 + 120x + -120x

Combine like terms: 24x + -120x = -96x
112 + -96x = 304 + 120x + -120x

Combine like terms: 120x + -120x = 0
112 + -96x = 304 + 0
112 + -96x = 304

Add '-112' to each side of the equation.
112 + -112 + -96x = 304 + -112

Combine like terms: 112 + -112 = 0
0 + -96x = 304 + -112
-96x = 304 + -112

Combine like terms: 304 + -112 = 192
-96x = 192

Divide each side by '-96'.
x = -2

Simplifying
x = -2

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