8[9-(-5x-6)]=120x+216

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Solution for 8[9-(-5x-6)]=120x+216 equation:


Simplifying
8[9 + -1(-5x + -6)] = 120x + 216

Reorder the terms:
8[9 + -1(-6 + -5x)] = 120x + 216
8[9 + (-6 * -1 + -5x * -1)] = 120x + 216
8[9 + (6 + 5x)] = 120x + 216

Combine like terms: 9 + 6 = 15
8[15 + 5x] = 120x + 216
[15 * 8 + 5x * 8] = 120x + 216
[120 + 40x] = 120x + 216

Reorder the terms:
120 + 40x = 216 + 120x

Solving
120 + 40x = 216 + 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.
120 + 40x + -120x = 216 + 120x + -120x

Combine like terms: 40x + -120x = -80x
120 + -80x = 216 + 120x + -120x

Combine like terms: 120x + -120x = 0
120 + -80x = 216 + 0
120 + -80x = 216

Add '-120' to each side of the equation.
120 + -120 + -80x = 216 + -120

Combine like terms: 120 + -120 = 0
0 + -80x = 216 + -120
-80x = 216 + -120

Combine like terms: 216 + -120 = 96
-80x = 96

Divide each side by '-80'.
x = -1.2

Simplifying
x = -1.2

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