2[8-(-6x-9)]=96x+160

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Solution for 2[8-(-6x-9)]=96x+160 equation: 


Simplifying
2[8 + -1(-6x + -9)] = 96x + 160

Reorder the terms:
2[8 + -1(-9 + -6x)] = 96x + 160
2[8 + (-9 * -1 + -6x * -1)] = 96x + 160
2[8 + (9 + 6x)] = 96x + 160

Combine like terms: 8 + 9 = 17
2[17 + 6x] = 96x + 160
[17 * 2 + 6x * 2] = 96x + 160
[34 + 12x] = 96x + 160

Reorder the terms:
34 + 12x = 160 + 96x

Solving
34 + 12x = 160 + 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.
34 + 12x + -96x = 160 + 96x + -96x

Combine like terms: 12x + -96x = -84x
34 + -84x = 160 + 96x + -96x

Combine like terms: 96x + -96x = 0
34 + -84x = 160 + 0
34 + -84x = 160

Add '-34' to each side of the equation.
34 + -34 + -84x = 160 + -34

Combine like terms: 34 + -34 = 0
0 + -84x = 160 + -34
-84x = 160 + -34

Combine like terms: 160 + -34 = 126
-84x = 126

Divide each side by '-84'.
x = -1.5

Simplifying
x = -1.5

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