6[8-(-8x-7)]=384x+384

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Solution for 6[8-(-8x-7)]=384x+384 equation: 


Simplifying
6[8 + -1(-8x + -7)] = 384x + 384

Reorder the terms:
6[8 + -1(-7 + -8x)] = 384x + 384
6[8 + (-7 * -1 + -8x * -1)] = 384x + 384
6[8 + (7 + 8x)] = 384x + 384

Combine like terms: 8 + 7 = 15
6[15 + 8x] = 384x + 384
[15 * 6 + 8x * 6] = 384x + 384
[90 + 48x] = 384x + 384

Reorder the terms:
90 + 48x = 384 + 384x

Solving
90 + 48x = 384 + 384x

Solving for variable 'x'.

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

Add '-384x' to each side of the equation.
90 + 48x + -384x = 384 + 384x + -384x

Combine like terms: 48x + -384x = -336x
90 + -336x = 384 + 384x + -384x

Combine like terms: 384x + -384x = 0
90 + -336x = 384 + 0
90 + -336x = 384

Add '-90' to each side of the equation.
90 + -90 + -336x = 384 + -90

Combine like terms: 90 + -90 = 0
0 + -336x = 384 + -90
-336x = 384 + -90

Combine like terms: 384 + -90 = 294
-336x = 294

Divide each side by '-336'.
x = -0.875

Simplifying
x = -0.875

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